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Finding the Fourth Proportional to 72,382.64, 108,587.61 and 27,417.46

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Solution

The fourth proportional to 72,382.64, 108,587.61 and 27,417.46 is: 41,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382.64 : 108,587.61 = 27,417.46 : x
  2. Step 2: Convert to fraction form
    72,382.64/108,587.61 = 27,417.46/x
  3. Step 3: Cross multiply
    72,382.64x = 108,587.61 × 27,417.46
  4. Step 4: Simplify right side
    72,382.64x = 2,977,196,594.82
  5. Step 5: Solve for x
    x = 2,977,196,594.82/72,382.64
  6. Step 6: Final answer
    x = 41,131.36

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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.