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Finding the Fourth Proportional to 153,670.32, 230,479.56 and 48,474

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Solution

The fourth proportional to 153,670.32, 230,479.56 and 48,474 is: 72,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,670.32 : 230,479.56 = 48,474 : x
  2. Step 2: Convert to fraction form
    153,670.32/230,479.56 = 48,474/x
  3. Step 3: Cross multiply
    153,670.32x = 230,479.56 × 48,474
  4. Step 4: Simplify right side
    153,670.32x = 11,172,266,191.44
  5. Step 5: Solve for x
    x = 11,172,266,191.44/153,670.32
  6. Step 6: Final answer
    x = 72,702.82

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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.