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Finding the Fourth Proportional to 107,242.61, 160,865.06 and 32,363.42

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Solution

The fourth proportional to 107,242.61, 160,865.06 and 32,363.42 is: 48,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242.61 : 160,865.06 = 32,363.42 : x
  2. Step 2: Convert to fraction form
    107,242.61/160,865.06 = 32,363.42/x
  3. Step 3: Cross multiply
    107,242.61x = 160,865.06 × 32,363.42
  4. Step 4: Simplify right side
    107,242.61x = 5,206,142,533.96
  5. Step 5: Solve for x
    x = 5,206,142,533.96/107,242.61
  6. Step 6: Final answer
    x = 48,545.47

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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.