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Finding the Fourth Proportional to 32,646.83, 48,951.14 and 10,448.78

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Solution

The fourth proportional to 32,646.83, 48,951.14 and 10,448.78 is: 15,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.83 : 48,951.14 = 10,448.78 : x
  2. Step 2: Convert to fraction form
    32,646.83/48,951.14 = 10,448.78/x
  3. Step 3: Cross multiply
    32,646.83x = 48,951.14 × 10,448.78
  4. Step 4: Simplify right side
    32,646.83x = 511,479,395.61
  5. Step 5: Solve for x
    x = 511,479,395.61/32,646.83
  6. Step 6: Final answer
    x = 15,667.05

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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.