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Finding the Fourth Proportional to 78,446, 108,254.82 and 42,636.22

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Solution

The fourth proportional to 78,446, 108,254.82 and 42,636.22 is: 58,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,446 : 108,254.82 = 42,636.22 : x
  2. Step 2: Convert to fraction form
    78,446/108,254.82 = 42,636.22/x
  3. Step 3: Cross multiply
    78,446x = 108,254.82 × 42,636.22
  4. Step 4: Simplify right side
    78,446x = 4,615,576,321.58
  5. Step 5: Solve for x
    x = 4,615,576,321.58/78,446
  6. Step 6: Final answer
    x = 58,837.62

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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.