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Finding the Fourth Proportional to 67,785.50, 101,693.14 and 27,804.72

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Solution

The fourth proportional to 67,785.50, 101,693.14 and 27,804.72 is: 41,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,785.50 : 101,693.14 = 27,804.72 : x
  2. Step 2: Convert to fraction form
    67,785.50/101,693.14 = 27,804.72/x
  3. Step 3: Cross multiply
    67,785.50x = 101,693.14 × 27,804.72
  4. Step 4: Simplify right side
    67,785.50x = 2,827,549,283.62
  5. Step 5: Solve for x
    x = 2,827,549,283.62/67,785.50
  6. Step 6: Final answer
    x = 41,713.19

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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.