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Finding the Fourth Proportional to 47,137.32, 70,717.50 and 15,972.84

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Solution

The fourth proportional to 47,137.32, 70,717.50 and 15,972.84 is: 23,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,137.32 : 70,717.50 = 15,972.84 : x
  2. Step 2: Convert to fraction form
    47,137.32/70,717.50 = 15,972.84/x
  3. Step 3: Cross multiply
    47,137.32x = 70,717.50 × 15,972.84
  4. Step 4: Simplify right side
    47,137.32x = 1,129,559,312.70
  5. Step 5: Solve for x
    x = 1,129,559,312.70/47,137.32
  6. Step 6: Final answer
    x = 23,963.16

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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.