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Finding the Fourth Proportional to 80,646.93, 120,931.20 and 24,476.87

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Solution

The fourth proportional to 80,646.93, 120,931.20 and 24,476.87 is: 36,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646.93 : 120,931.20 = 24,476.87 : x
  2. Step 2: Convert to fraction form
    80,646.93/120,931.20 = 24,476.87/x
  3. Step 3: Cross multiply
    80,646.93x = 120,931.20 × 24,476.87
  4. Step 4: Simplify right side
    80,646.93x = 2,960,016,656.69
  5. Step 5: Solve for x
    x = 2,960,016,656.69/80,646.93
  6. Step 6: Final answer
    x = 36,703.40

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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.