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Finding the Fourth Proportional to 78,162.09, 117,254.07 and 25,561.10

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Solution

The fourth proportional to 78,162.09, 117,254.07 and 25,561.10 is: 38,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.09 : 117,254.07 = 25,561.10 : x
  2. Step 2: Convert to fraction form
    78,162.09/117,254.07 = 25,561.10/x
  3. Step 3: Cross multiply
    78,162.09x = 117,254.07 × 25,561.10
  4. Step 4: Simplify right side
    78,162.09x = 2,997,142,422.41
  5. Step 5: Solve for x
    x = 2,997,142,422.41/78,162.09
  6. Step 6: Final answer
    x = 38,345.22

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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.