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Finding the Fourth Proportional to 83,898.40, 125,847.60 and 31,305.10

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Solution

The fourth proportional to 83,898.40, 125,847.60 and 31,305.10 is: 46,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898.40 : 125,847.60 = 31,305.10 : x
  2. Step 2: Convert to fraction form
    83,898.40/125,847.60 = 31,305.10/x
  3. Step 3: Cross multiply
    83,898.40x = 125,847.60 × 31,305.10
  4. Step 4: Simplify right side
    83,898.40x = 3,939,671,702.76
  5. Step 5: Solve for x
    x = 3,939,671,702.76/83,898.40
  6. Step 6: Final answer
    x = 46,957.65

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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.