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Finding the Fourth Proportional to 47,502.64, 71,248.49 and 12,445.03

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Solution

The fourth proportional to 47,502.64, 71,248.49 and 12,445.03 is: 18,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502.64 : 71,248.49 = 12,445.03 : x
  2. Step 2: Convert to fraction form
    47,502.64/71,248.49 = 12,445.03/x
  3. Step 3: Cross multiply
    47,502.64x = 71,248.49 × 12,445.03
  4. Step 4: Simplify right side
    47,502.64x = 886,689,595.50
  5. Step 5: Solve for x
    x = 886,689,595.50/47,502.64
  6. Step 6: Final answer
    x = 18,666.11

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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.