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Finding the Fourth Proportional to 31,470.84, 47,206.56 and 8,981.50

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Solution

The fourth proportional to 31,470.84, 47,206.56 and 8,981.50 is: 13,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.84 : 47,206.56 = 8,981.50 : x
  2. Step 2: Convert to fraction form
    31,470.84/47,206.56 = 8,981.50/x
  3. Step 3: Cross multiply
    31,470.84x = 47,206.56 × 8,981.50
  4. Step 4: Simplify right side
    31,470.84x = 423,985,718.64
  5. Step 5: Solve for x
    x = 423,985,718.64/31,470.84
  6. Step 6: Final answer
    x = 13,472.34

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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.