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Finding the Fourth Proportional to 78,862.16, 118,296 and 25,552.88

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Solution

The fourth proportional to 78,862.16, 118,296 and 25,552.88 is: 38,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.16 : 118,296 = 25,552.88 : x
  2. Step 2: Convert to fraction form
    78,862.16/118,296 = 25,552.88/x
  3. Step 3: Cross multiply
    78,862.16x = 118,296 × 25,552.88
  4. Step 4: Simplify right side
    78,862.16x = 3,022,803,492.48
  5. Step 5: Solve for x
    x = 3,022,803,492.48/78,862.16
  6. Step 6: Final answer
    x = 38,330.21

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Why These Related Problems?

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