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Finding the Fourth Proportional to 61,398.70, 84,730.07 and 34,541.23

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Solution

The fourth proportional to 61,398.70, 84,730.07 and 34,541.23 is: 47,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398.70 : 84,730.07 = 34,541.23 : x
  2. Step 2: Convert to fraction form
    61,398.70/84,730.07 = 34,541.23/x
  3. Step 3: Cross multiply
    61,398.70x = 84,730.07 × 34,541.23
  4. Step 4: Simplify right side
    61,398.70x = 2,926,680,412.14
  5. Step 5: Solve for x
    x = 2,926,680,412.14/61,398.70
  6. Step 6: Final answer
    x = 47,666.82

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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.