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Finding the Fourth Proportional to 103,331, 154,997.94 and 29,459

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Solution

The fourth proportional to 103,331, 154,997.94 and 29,459 is: 44,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,331 : 154,997.94 = 29,459 : x
  2. Step 2: Convert to fraction form
    103,331/154,997.94 = 29,459/x
  3. Step 3: Cross multiply
    103,331x = 154,997.94 × 29,459
  4. Step 4: Simplify right side
    103,331x = 4,566,084,314.46
  5. Step 5: Solve for x
    x = 4,566,084,314.46/103,331
  6. Step 6: Final answer
    x = 44,188.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.