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Finding the Fourth Proportional to 78,042.10, 117,051.27 and 25,451.50

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Solution

The fourth proportional to 78,042.10, 117,051.27 and 25,451.50 is: 38,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.10 : 117,051.27 = 25,451.50 : x
  2. Step 2: Convert to fraction form
    78,042.10/117,051.27 = 25,451.50/x
  3. Step 3: Cross multiply
    78,042.10x = 117,051.27 × 25,451.50
  4. Step 4: Simplify right side
    78,042.10x = 2,979,130,398.41
  5. Step 5: Solve for x
    x = 2,979,130,398.41/78,042.10
  6. Step 6: Final answer
    x = 38,173.38

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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.