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Finding the Fourth Proportional to 107,038.37, 160,657.19 and 54,487.19

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Solution

The fourth proportional to 107,038.37, 160,657.19 and 54,487.19 is: 81,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,038.37 : 160,657.19 = 54,487.19 : x
  2. Step 2: Convert to fraction form
    107,038.37/160,657.19 = 54,487.19/x
  3. Step 3: Cross multiply
    107,038.37x = 160,657.19 × 54,487.19
  4. Step 4: Simplify right side
    107,038.37x = 8,753,758,836.40
  5. Step 5: Solve for x
    x = 8,753,758,836.40/107,038.37
  6. Step 6: Final answer
    x = 81,781.50

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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.