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Finding the Fourth Proportional to 82,894.34, 124,378.28 and 43,442.08

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Solution

The fourth proportional to 82,894.34, 124,378.28 and 43,442.08 is: 65,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.34 : 124,378.28 = 43,442.08 : x
  2. Step 2: Convert to fraction form
    82,894.34/124,378.28 = 43,442.08/x
  3. Step 3: Cross multiply
    82,894.34x = 124,378.28 × 43,442.08
  4. Step 4: Simplify right side
    82,894.34x = 5,403,251,190.02
  5. Step 5: Solve for x
    x = 5,403,251,190.02/82,894.34
  6. Step 6: Final answer
    x = 65,182.39

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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.