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Finding the Fourth Proportional to 59,885.84, 82,647.43 and 34,397.13

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Solution

The fourth proportional to 59,885.84, 82,647.43 and 34,397.13 is: 47,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,885.84 : 82,647.43 = 34,397.13 : x
  2. Step 2: Convert to fraction form
    59,885.84/82,647.43 = 34,397.13/x
  3. Step 3: Cross multiply
    59,885.84x = 82,647.43 × 34,397.13
  4. Step 4: Simplify right side
    59,885.84x = 2,842,833,997.96
  5. Step 5: Solve for x
    x = 2,842,833,997.96/59,885.84
  6. Step 6: Final answer
    x = 47,470.89

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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.