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Finding the Fourth Proportional to 32,981.25, 49,471.88 and 14,513.25

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Solution

The fourth proportional to 32,981.25, 49,471.88 and 14,513.25 is: 21,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.25 : 49,471.88 = 14,513.25 : x
  2. Step 2: Convert to fraction form
    32,981.25/49,471.88 = 14,513.25/x
  3. Step 3: Cross multiply
    32,981.25x = 49,471.88 × 14,513.25
  4. Step 4: Simplify right side
    32,981.25x = 717,997,689.84
  5. Step 5: Solve for x
    x = 717,997,689.84/32,981.25
  6. Step 6: Final answer
    x = 21,769.88

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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.