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Finding the Fourth Proportional to 78,117.42, 117,182.20 and 25,532.22

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Solution

The fourth proportional to 78,117.42, 117,182.20 and 25,532.22 is: 38,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.42 : 117,182.20 = 25,532.22 : x
  2. Step 2: Convert to fraction form
    78,117.42/117,182.20 = 25,532.22/x
  3. Step 3: Cross multiply
    78,117.42x = 117,182.20 × 25,532.22
  4. Step 4: Simplify right side
    78,117.42x = 2,991,921,207.22
  5. Step 5: Solve for x
    x = 2,991,921,207.22/78,117.42
  6. Step 6: Final answer
    x = 38,300.31

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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.