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Finding the Fourth Proportional to 61,463.60, 84,821.46 and 34,604

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Solution

The fourth proportional to 61,463.60, 84,821.46 and 34,604 is: 47,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,463.60 : 84,821.46 = 34,604 : x
  2. Step 2: Convert to fraction form
    61,463.60/84,821.46 = 34,604/x
  3. Step 3: Cross multiply
    61,463.60x = 84,821.46 × 34,604
  4. Step 4: Simplify right side
    61,463.60x = 2,935,161,801.84
  5. Step 5: Solve for x
    x = 2,935,161,801.84/61,463.60
  6. Step 6: Final answer
    x = 47,754.47

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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.