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Finding the Fourth Proportional to 24,454.08, 36,702.08 and 24,270

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Solution

The fourth proportional to 24,454.08, 36,702.08 and 24,270 is: 36,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.08 : 36,702.08 = 24,270 : x
  2. Step 2: Convert to fraction form
    24,454.08/36,702.08 = 24,270/x
  3. Step 3: Cross multiply
    24,454.08x = 36,702.08 × 24,270
  4. Step 4: Simplify right side
    24,454.08x = 890,759,481.60
  5. Step 5: Solve for x
    x = 890,759,481.60/24,454.08
  6. Step 6: Final answer
    x = 36,425.80

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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.