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Finding the Fourth Proportional to 83,842.98, 115,702.16 and 45,601.70

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Solution

The fourth proportional to 83,842.98, 115,702.16 and 45,601.70 is: 62,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.98 : 115,702.16 = 45,601.70 : x
  2. Step 2: Convert to fraction form
    83,842.98/115,702.16 = 45,601.70/x
  3. Step 3: Cross multiply
    83,842.98x = 115,702.16 × 45,601.70
  4. Step 4: Simplify right side
    83,842.98x = 5,276,214,383.15
  5. Step 5: Solve for x
    x = 5,276,214,383.15/83,842.98
  6. Step 6: Final answer
    x = 62,929.71

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1.5x scale

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.