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Finding the Fourth Proportional to 24,509,819.20, 36,764,728.80 and 7,470,464.80

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Solution

The fourth proportional to 24,509,819.20, 36,764,728.80 and 7,470,464.80 is: 11,205,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509,819.20 : 36,764,728.80 = 7,470,464.80 : x
  2. Step 2: Convert to fraction form
    24,509,819.20/36,764,728.80 = 7,470,464.80/x
  3. Step 3: Cross multiply
    24,509,819.20x = 36,764,728.80 × 7,470,464.80
  4. Step 4: Simplify right side
    24,509,819.20x = 274,649,612,381,946.22
  5. Step 5: Solve for x
    x = 274,649,612,381,946.22/24,509,819.20
  6. Step 6: Final answer
    x = 11,205,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.