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Finding the Fourth Proportional to 31,852.52, 47,778.88 and 9,666.08

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Solution

The fourth proportional to 31,852.52, 47,778.88 and 9,666.08 is: 14,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.52 : 47,778.88 = 9,666.08 : x
  2. Step 2: Convert to fraction form
    31,852.52/47,778.88 = 9,666.08/x
  3. Step 3: Cross multiply
    31,852.52x = 47,778.88 × 9,666.08
  4. Step 4: Simplify right side
    31,852.52x = 461,834,476.39
  5. Step 5: Solve for x
    x = 461,834,476.39/31,852.52
  6. Step 6: Final answer
    x = 14,499.15

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1.5x scale

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.