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Finding the Fourth Proportional to 77,201.80, 115,802.70 and 32,817.40

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Solution

The fourth proportional to 77,201.80, 115,802.70 and 32,817.40 is: 49,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201.80 : 115,802.70 = 32,817.40 : x
  2. Step 2: Convert to fraction form
    77,201.80/115,802.70 = 32,817.40/x
  3. Step 3: Cross multiply
    77,201.80x = 115,802.70 × 32,817.40
  4. Step 4: Simplify right side
    77,201.80x = 3,800,343,526.98
  5. Step 5: Solve for x
    x = 3,800,343,526.98/77,201.80
  6. Step 6: Final answer
    x = 49,226.10

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1.5x scale

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.