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Finding the Fourth Proportional to 31,582.64, 47,373.32 and 10,524.21

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Solution

The fourth proportional to 31,582.64, 47,373.32 and 10,524.21 is: 15,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582.64 : 47,373.32 = 10,524.21 : x
  2. Step 2: Convert to fraction form
    31,582.64/47,373.32 = 10,524.21/x
  3. Step 3: Cross multiply
    31,582.64x = 47,373.32 × 10,524.21
  4. Step 4: Simplify right side
    31,582.64x = 498,566,715.46
  5. Step 5: Solve for x
    x = 498,566,715.46/31,582.64
  6. Step 6: Final answer
    x = 15,786.10

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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.