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Finding the Fourth Proportional to 67,804, 101,711.80 and 17,883.68

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Solution

The fourth proportional to 67,804, 101,711.80 and 17,883.68 is: 26,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,804 : 101,711.80 = 17,883.68 : x
  2. Step 2: Convert to fraction form
    67,804/101,711.80 = 17,883.68/x
  3. Step 3: Cross multiply
    67,804x = 101,711.80 × 17,883.68
  4. Step 4: Simplify right side
    67,804x = 1,818,981,283.42
  5. Step 5: Solve for x
    x = 1,818,981,283.42/67,804
  6. Step 6: Final answer
    x = 26,827.05

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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.