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Finding the Fourth Proportional to 107,039.72, 160,609.40 and 47,915.40

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Solution

The fourth proportional to 107,039.72, 160,609.40 and 47,915.40 is: 71,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,039.72 : 160,609.40 = 47,915.40 : x
  2. Step 2: Convert to fraction form
    107,039.72/160,609.40 = 47,915.40/x
  3. Step 3: Cross multiply
    107,039.72x = 160,609.40 × 47,915.40
  4. Step 4: Simplify right side
    107,039.72x = 7,695,663,644.76
  5. Step 5: Solve for x
    x = 7,695,663,644.76/107,039.72
  6. Step 6: Final answer
    x = 71,895.40

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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.