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Finding the Fourth Proportional to 67,864.65, 101,830.10 and 48,001.77

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Solution

The fourth proportional to 67,864.65, 101,830.10 and 48,001.77 is: 72,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,864.65 : 101,830.10 = 48,001.77 : x
  2. Step 2: Convert to fraction form
    67,864.65/101,830.10 = 48,001.77/x
  3. Step 3: Cross multiply
    67,864.65x = 101,830.10 × 48,001.77
  4. Step 4: Simplify right side
    67,864.65x = 4,888,024,799.27
  5. Step 5: Solve for x
    x = 4,888,024,799.27/67,864.65
  6. Step 6: Final answer
    x = 72,026.08

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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.