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Finding the Fourth Proportional to 32,951.68, 49,432.34 and 9,575.08

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Solution

The fourth proportional to 32,951.68, 49,432.34 and 9,575.08 is: 14,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.68 : 49,432.34 = 9,575.08 : x
  2. Step 2: Convert to fraction form
    32,951.68/49,432.34 = 9,575.08/x
  3. Step 3: Cross multiply
    32,951.68x = 49,432.34 × 9,575.08
  4. Step 4: Simplify right side
    32,951.68x = 473,318,610.09
  5. Step 5: Solve for x
    x = 473,318,610.09/32,951.68
  6. Step 6: Final answer
    x = 14,364.02

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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.