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Finding the Fourth Proportional to 31,532.16, 47,282.88 and 16,748.16

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Solution

The fourth proportional to 31,532.16, 47,282.88 and 16,748.16 is: 25,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.16 : 47,282.88 = 16,748.16 : x
  2. Step 2: Convert to fraction form
    31,532.16/47,282.88 = 16,748.16/x
  3. Step 3: Cross multiply
    31,532.16x = 47,282.88 × 16,748.16
  4. Step 4: Simplify right side
    31,532.16x = 791,901,239.50
  5. Step 5: Solve for x
    x = 791,901,239.50/31,532.16
  6. Step 6: Final answer
    x = 25,114.08

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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.