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Finding the Fourth Proportional to 31,951.68, 47,927.52 and 9,765.12

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Solution

The fourth proportional to 31,951.68, 47,927.52 and 9,765.12 is: 14,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.68 : 47,927.52 = 9,765.12 : x
  2. Step 2: Convert to fraction form
    31,951.68/47,927.52 = 9,765.12/x
  3. Step 3: Cross multiply
    31,951.68x = 47,927.52 × 9,765.12
  4. Step 4: Simplify right side
    31,951.68x = 468,017,984.10
  5. Step 5: Solve for x
    x = 468,017,984.10/31,951.68
  6. Step 6: Final answer
    x = 14,647.68

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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.