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Finding the Fourth Proportional to 71,642.88, 107,547.35 and 38,427.82

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Solution

The fourth proportional to 71,642.88, 107,547.35 and 38,427.82 is: 57,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.88 : 107,547.35 = 38,427.82 : x
  2. Step 2: Convert to fraction form
    71,642.88/107,547.35 = 38,427.82/x
  3. Step 3: Cross multiply
    71,642.88x = 107,547.35 × 38,427.82
  4. Step 4: Simplify right side
    71,642.88x = 4,132,809,746.27
  5. Step 5: Solve for x
    x = 4,132,809,746.27/71,642.88
  6. Step 6: Final answer
    x = 57,686.26

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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.