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Finding the Fourth Proportional to 61,225.80, 84,500.13 and 34,008

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Solution

The fourth proportional to 61,225.80, 84,500.13 and 34,008 is: 46,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,225.80 : 84,500.13 = 34,008 : x
  2. Step 2: Convert to fraction form
    61,225.80/84,500.13 = 34,008/x
  3. Step 3: Cross multiply
    61,225.80x = 84,500.13 × 34,008
  4. Step 4: Simplify right side
    61,225.80x = 2,873,680,421.04
  5. Step 5: Solve for x
    x = 2,873,680,421.04/61,225.80
  6. Step 6: Final answer
    x = 46,935.78

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Why These Related Problems?

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