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Finding the Fourth Proportional to 48,474.42, 72,713.26 and 13,411.14

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Solution

The fourth proportional to 48,474.42, 72,713.26 and 13,411.14 is: 20,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.42 : 72,713.26 = 13,411.14 : x
  2. Step 2: Convert to fraction form
    48,474.42/72,713.26 = 13,411.14/x
  3. Step 3: Cross multiply
    48,474.42x = 72,713.26 × 13,411.14
  4. Step 4: Simplify right side
    48,474.42x = 975,167,709.72
  5. Step 5: Solve for x
    x = 975,167,709.72/48,474.42
  6. Step 6: Final answer
    x = 20,117.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.