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Finding the Fourth Proportional to 65,147.22, 89,959.28 and 40,988.46

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Solution

The fourth proportional to 65,147.22, 89,959.28 and 40,988.46 is: 56,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147.22 : 89,959.28 = 40,988.46 : x
  2. Step 2: Convert to fraction form
    65,147.22/89,959.28 = 40,988.46/x
  3. Step 3: Cross multiply
    65,147.22x = 89,959.28 × 40,988.46
  4. Step 4: Simplify right side
    65,147.22x = 3,687,292,482.31
  5. Step 5: Solve for x
    x = 3,687,292,482.31/65,147.22
  6. Step 6: Final answer
    x = 56,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.