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Finding the Fourth Proportional to 32,403.59, 48,600.76 and 10,214.08

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Solution

The fourth proportional to 32,403.59, 48,600.76 and 10,214.08 is: 15,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.59 : 48,600.76 = 10,214.08 : x
  2. Step 2: Convert to fraction form
    32,403.59/48,600.76 = 10,214.08/x
  3. Step 3: Cross multiply
    32,403.59x = 48,600.76 × 10,214.08
  4. Step 4: Simplify right side
    32,403.59x = 496,412,076.24
  5. Step 5: Solve for x
    x = 496,412,076.24/32,403.59
  6. Step 6: Final answer
    x = 15,319.66

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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.