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Finding the Fourth Proportional to 48,502.72, 72,741.12 and 13,444.30

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Solution

The fourth proportional to 48,502.72, 72,741.12 and 13,444.30 is: 20,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502.72 : 72,741.12 = 13,444.30 : x
  2. Step 2: Convert to fraction form
    48,502.72/72,741.12 = 13,444.30/x
  3. Step 3: Cross multiply
    48,502.72x = 72,741.12 × 13,444.30
  4. Step 4: Simplify right side
    48,502.72x = 977,953,439.62
  5. Step 5: Solve for x
    x = 977,953,439.62/48,502.72
  6. Step 6: Final answer
    x = 20,162.86

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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.