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Finding the Fourth Proportional to 32,142.86, 48,218.85 and 9,957.98

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Solution

The fourth proportional to 32,142.86, 48,218.85 and 9,957.98 is: 14,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.86 : 48,218.85 = 9,957.98 : x
  2. Step 2: Convert to fraction form
    32,142.86/48,218.85 = 9,957.98/x
  3. Step 3: Cross multiply
    32,142.86x = 48,218.85 × 9,957.98
  4. Step 4: Simplify right side
    32,142.86x = 480,162,343.92
  5. Step 5: Solve for x
    x = 480,162,343.92/32,142.86
  6. Step 6: Final answer
    x = 14,938.38

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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.