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Finding the Fourth Proportional to 31,716.84, 47,575.12 and 9,530.12

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Solution

The fourth proportional to 31,716.84, 47,575.12 and 9,530.12 is: 14,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.84 : 47,575.12 = 9,530.12 : x
  2. Step 2: Convert to fraction form
    31,716.84/47,575.12 = 9,530.12/x
  3. Step 3: Cross multiply
    31,716.84x = 47,575.12 × 9,530.12
  4. Step 4: Simplify right side
    31,716.84x = 453,396,602.61
  5. Step 5: Solve for x
    x = 453,396,602.61/31,716.84
  6. Step 6: Final answer
    x = 14,295.14

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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.