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Finding the Fourth Proportional to 52,934.30, 73,035.12 and 31,406.14

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Solution

The fourth proportional to 52,934.30, 73,035.12 and 31,406.14 is: 43,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,934.30 : 73,035.12 = 31,406.14 : x
  2. Step 2: Convert to fraction form
    52,934.30/73,035.12 = 31,406.14/x
  3. Step 3: Cross multiply
    52,934.30x = 73,035.12 × 31,406.14
  4. Step 4: Simplify right side
    52,934.30x = 2,293,751,412.70
  5. Step 5: Solve for x
    x = 2,293,751,412.70/52,934.30
  6. Step 6: Final answer
    x = 43,332.04

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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.