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Finding the Fourth Proportional to 52,011.86, 71,778.94 and 31,869.86

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Solution

The fourth proportional to 52,011.86, 71,778.94 and 31,869.86 is: 43,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.86 : 71,778.94 = 31,869.86 : x
  2. Step 2: Convert to fraction form
    52,011.86/71,778.94 = 31,869.86/x
  3. Step 3: Cross multiply
    52,011.86x = 71,778.94 × 31,869.86
  4. Step 4: Simplify right side
    52,011.86x = 2,287,584,330.18
  5. Step 5: Solve for x
    x = 2,287,584,330.18/52,011.86
  6. Step 6: Final answer
    x = 43,981.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.