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Finding the Fourth Proportional to 31,152.55, 46,735.98 and 8,966.11

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Solution

The fourth proportional to 31,152.55, 46,735.98 and 8,966.11 is: 13,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.55 : 46,735.98 = 8,966.11 : x
  2. Step 2: Convert to fraction form
    31,152.55/46,735.98 = 8,966.11/x
  3. Step 3: Cross multiply
    31,152.55x = 46,735.98 × 8,966.11
  4. Step 4: Simplify right side
    31,152.55x = 419,039,937.64
  5. Step 5: Solve for x
    x = 419,039,937.64/31,152.55
  6. Step 6: Final answer
    x = 13,451.22

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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.