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Finding the Fourth Proportional to 59,702.32, 82,390.44 and 32,844.88

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Solution

The fourth proportional to 59,702.32, 82,390.44 and 32,844.88 is: 45,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702.32 : 82,390.44 = 32,844.88 : x
  2. Step 2: Convert to fraction form
    59,702.32/82,390.44 = 32,844.88/x
  3. Step 3: Cross multiply
    59,702.32x = 82,390.44 × 32,844.88
  4. Step 4: Simplify right side
    59,702.32x = 2,706,104,114.95
  5. Step 5: Solve for x
    x = 2,706,104,114.95/59,702.32
  6. Step 6: Final answer
    x = 45,326.62

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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.