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Finding the Fourth Proportional to 109,755, 151,461.95 and 59,454

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Solution

The fourth proportional to 109,755, 151,461.95 and 59,454 is: 82,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755 : 151,461.95 = 59,454 : x
  2. Step 2: Convert to fraction form
    109,755/151,461.95 = 59,454/x
  3. Step 3: Cross multiply
    109,755x = 151,461.95 × 59,454
  4. Step 4: Simplify right side
    109,755x = 9,005,018,478.03
  5. Step 5: Solve for x
    x = 9,005,018,478.03/109,755
  6. Step 6: Final answer
    x = 82,046.54

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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.