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Finding the Fourth Proportional to 47,702.72, 65,829.60 and 26,482.88

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Solution

The fourth proportional to 47,702.72, 65,829.60 and 26,482.88 is: 36,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.72 : 65,829.60 = 26,482.88 : x
  2. Step 2: Convert to fraction form
    47,702.72/65,829.60 = 26,482.88/x
  3. Step 3: Cross multiply
    47,702.72x = 65,829.60 × 26,482.88
  4. Step 4: Simplify right side
    47,702.72x = 1,743,357,397.25
  5. Step 5: Solve for x
    x = 1,743,357,397.25/47,702.72
  6. Step 6: Final answer
    x = 36,546.29

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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.