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Finding the Fourth Proportional to 31,763.92, 47,630.52 and 9,573.16

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Solution

The fourth proportional to 31,763.92, 47,630.52 and 9,573.16 is: 14,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,763.92 : 47,630.52 = 9,573.16 : x
  2. Step 2: Convert to fraction form
    31,763.92/47,630.52 = 9,573.16/x
  3. Step 3: Cross multiply
    31,763.92x = 47,630.52 × 9,573.16
  4. Step 4: Simplify right side
    31,763.92x = 455,974,588.84
  5. Step 5: Solve for x
    x = 455,974,588.84/31,763.92
  6. Step 6: Final answer
    x = 14,355.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.