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Finding the Fourth Proportional to 107,294.92, 160,888.38 and 37,155.40

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Solution

The fourth proportional to 107,294.92, 160,888.38 and 37,155.40 is: 55,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.92 : 160,888.38 = 37,155.40 : x
  2. Step 2: Convert to fraction form
    107,294.92/160,888.38 = 37,155.40/x
  3. Step 3: Cross multiply
    107,294.92x = 160,888.38 × 37,155.40
  4. Step 4: Simplify right side
    107,294.92x = 5,977,872,114.25
  5. Step 5: Solve for x
    x = 5,977,872,114.25/107,294.92
  6. Step 6: Final answer
    x = 55,714.40

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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.