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Finding the Fourth Proportional to 101,847.76, 140,547.79 and 56,523.11

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Solution

The fourth proportional to 101,847.76, 140,547.79 and 56,523.11 is: 78,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847.76 : 140,547.79 = 56,523.11 : x
  2. Step 2: Convert to fraction form
    101,847.76/140,547.79 = 56,523.11/x
  3. Step 3: Cross multiply
    101,847.76x = 140,547.79 × 56,523.11
  4. Step 4: Simplify right side
    101,847.76x = 7,944,197,562.34
  5. Step 5: Solve for x
    x = 7,944,197,562.34/101,847.76
  6. Step 6: Final answer
    x = 78,000.71

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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.