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Finding the Fourth Proportional to 78,452.34, 108,264.36 and 42,642.26

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Solution

The fourth proportional to 78,452.34, 108,264.36 and 42,642.26 is: 58,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.34 : 108,264.36 = 42,642.26 : x
  2. Step 2: Convert to fraction form
    78,452.34/108,264.36 = 42,642.26/x
  3. Step 3: Cross multiply
    78,452.34x = 108,264.36 × 42,642.26
  4. Step 4: Simplify right side
    78,452.34x = 4,616,636,987.85
  5. Step 5: Solve for x
    x = 4,616,636,987.85/78,452.34
  6. Step 6: Final answer
    x = 58,846.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.