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Finding the Fourth Proportional to 78,417.28, 117,559.78 and 34,010.58

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Solution

The fourth proportional to 78,417.28, 117,559.78 and 34,010.58 is: 50,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,417.28 : 117,559.78 = 34,010.58 : x
  2. Step 2: Convert to fraction form
    78,417.28/117,559.78 = 34,010.58/x
  3. Step 3: Cross multiply
    78,417.28x = 117,559.78 × 34,010.58
  4. Step 4: Simplify right side
    78,417.28x = 3,998,276,897.43
  5. Step 5: Solve for x
    x = 3,998,276,897.43/78,417.28
  6. Step 6: Final answer
    x = 50,987.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.