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Finding the Fourth Proportional to 97,700.90, 146,522.55 and 38,516.90

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Solution

The fourth proportional to 97,700.90, 146,522.55 and 38,516.90 is: 57,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,700.90 : 146,522.55 = 38,516.90 : x
  2. Step 2: Convert to fraction form
    97,700.90/146,522.55 = 38,516.90/x
  3. Step 3: Cross multiply
    97,700.90x = 146,522.55 × 38,516.90
  4. Step 4: Simplify right side
    97,700.90x = 5,643,594,406.10
  5. Step 5: Solve for x
    x = 5,643,594,406.10/97,700.90
  6. Step 6: Final answer
    x = 57,764.00

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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.