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Finding the Fourth Proportional to 38,252.60, 57,378.60 and 22,659

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Solution

The fourth proportional to 38,252.60, 57,378.60 and 22,659 is: 33,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252.60 : 57,378.60 = 22,659 : x
  2. Step 2: Convert to fraction form
    38,252.60/57,378.60 = 22,659/x
  3. Step 3: Cross multiply
    38,252.60x = 57,378.60 × 22,659
  4. Step 4: Simplify right side
    38,252.60x = 1,300,141,697.40
  5. Step 5: Solve for x
    x = 1,300,141,697.40/38,252.60
  6. Step 6: Final answer
    x = 33,988.32

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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.