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Finding the Fourth Proportional to 32,677.83, 48,992.85 and 10,478.57

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Solution

The fourth proportional to 32,677.83, 48,992.85 and 10,478.57 is: 15,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.83 : 48,992.85 = 10,478.57 : x
  2. Step 2: Convert to fraction form
    32,677.83/48,992.85 = 10,478.57/x
  3. Step 3: Cross multiply
    32,677.83x = 48,992.85 × 10,478.57
  4. Step 4: Simplify right side
    32,677.83x = 513,374,763.26
  5. Step 5: Solve for x
    x = 513,374,763.26/32,677.83
  6. Step 6: Final answer
    x = 15,710.19

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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.