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Finding the Fourth Proportional to 32,678.83, 48,994.35 and 10,479.57

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Solution

The fourth proportional to 32,678.83, 48,994.35 and 10,479.57 is: 15,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.83 : 48,994.35 = 10,479.57 : x
  2. Step 2: Convert to fraction form
    32,678.83/48,994.35 = 10,479.57/x
  3. Step 3: Cross multiply
    32,678.83x = 48,994.35 × 10,479.57
  4. Step 4: Simplify right side
    32,678.83x = 513,439,720.43
  5. Step 5: Solve for x
    x = 513,439,720.43/32,678.83
  6. Step 6: Final answer
    x = 15,711.69

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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.