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Finding the Fourth Proportional to 31,715.48, 47,602.74 and 16,144.76

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Solution

The fourth proportional to 31,715.48, 47,602.74 and 16,144.76 is: 24,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.48 : 47,602.74 = 16,144.76 : x
  2. Step 2: Convert to fraction form
    31,715.48/47,602.74 = 16,144.76/x
  3. Step 3: Cross multiply
    31,715.48x = 47,602.74 × 16,144.76
  4. Step 4: Simplify right side
    31,715.48x = 768,534,812.64
  5. Step 5: Solve for x
    x = 768,534,812.64/31,715.48
  6. Step 6: Final answer
    x = 24,232.17

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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.