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Finding the Fourth Proportional to 97,114.80, 145,612.80 and 37,882.20

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Solution

The fourth proportional to 97,114.80, 145,612.80 and 37,882.20 is: 56,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,114.80 : 145,612.80 = 37,882.20 : x
  2. Step 2: Convert to fraction form
    97,114.80/145,612.80 = 37,882.20/x
  3. Step 3: Cross multiply
    97,114.80x = 145,612.80 × 37,882.20
  4. Step 4: Simplify right side
    97,114.80x = 5,516,133,212.16
  5. Step 5: Solve for x
    x = 5,516,133,212.16/97,114.80
  6. Step 6: Final answer
    x = 56,800.13

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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.