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Finding the Fourth Proportional to 37,762.20, 52,098.84 and 23,416.84

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Solution

The fourth proportional to 37,762.20, 52,098.84 and 23,416.84 is: 32,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.20 : 52,098.84 = 23,416.84 : x
  2. Step 2: Convert to fraction form
    37,762.20/52,098.84 = 23,416.84/x
  3. Step 3: Cross multiply
    37,762.20x = 52,098.84 × 23,416.84
  4. Step 4: Simplify right side
    37,762.20x = 1,219,990,200.47
  5. Step 5: Solve for x
    x = 1,219,990,200.47/37,762.20
  6. Step 6: Final answer
    x = 32,307.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.