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Finding the Fourth Proportional to 32,884.76, 49,327.14 and 10,700.38

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Solution

The fourth proportional to 32,884.76, 49,327.14 and 10,700.38 is: 16,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.76 : 49,327.14 = 10,700.38 : x
  2. Step 2: Convert to fraction form
    32,884.76/49,327.14 = 10,700.38/x
  3. Step 3: Cross multiply
    32,884.76x = 49,327.14 × 10,700.38
  4. Step 4: Simplify right side
    32,884.76x = 527,819,142.31
  5. Step 5: Solve for x
    x = 527,819,142.31/32,884.76
  6. Step 6: Final answer
    x = 16,050.57

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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.