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Finding the Fourth Proportional to 48,376, 72,560.76 and 13,315.96

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Solution

The fourth proportional to 48,376, 72,560.76 and 13,315.96 is: 19,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376 : 72,560.76 = 13,315.96 : x
  2. Step 2: Convert to fraction form
    48,376/72,560.76 = 13,315.96/x
  3. Step 3: Cross multiply
    48,376x = 72,560.76 × 13,315.96
  4. Step 4: Simplify right side
    48,376x = 966,216,177.73
  5. Step 5: Solve for x
    x = 966,216,177.73/48,376
  6. Step 6: Final answer
    x = 19,973.05

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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.