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Finding the Fourth Proportional to 31,527, 47,285.64 and 10,476.18

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Solution

The fourth proportional to 31,527, 47,285.64 and 10,476.18 is: 15,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527 : 47,285.64 = 10,476.18 : x
  2. Step 2: Convert to fraction form
    31,527/47,285.64 = 10,476.18/x
  3. Step 3: Cross multiply
    31,527x = 47,285.64 × 10,476.18
  4. Step 4: Simplify right side
    31,527x = 495,372,876.06
  5. Step 5: Solve for x
    x = 495,372,876.06/31,527
  6. Step 6: Final answer
    x = 15,712.66

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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.