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Finding the Fourth Proportional to 48,376.88, 72,567.84 and 13,315.76

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Solution

The fourth proportional to 48,376.88, 72,567.84 and 13,315.76 is: 19,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376.88 : 72,567.84 = 13,315.76 : x
  2. Step 2: Convert to fraction form
    48,376.88/72,567.84 = 13,315.76/x
  3. Step 3: Cross multiply
    48,376.88x = 72,567.84 × 13,315.76
  4. Step 4: Simplify right side
    48,376.88x = 966,295,941.16
  5. Step 5: Solve for x
    x = 966,295,941.16/48,376.88
  6. Step 6: Final answer
    x = 19,974.33

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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.