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Finding the Fourth Proportional to 35,725.30, 53,577 and 24,702.82

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Solution

The fourth proportional to 35,725.30, 53,577 and 24,702.82 is: 37,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725.30 : 53,577 = 24,702.82 : x
  2. Step 2: Convert to fraction form
    35,725.30/53,577 = 24,702.82/x
  3. Step 3: Cross multiply
    35,725.30x = 53,577 × 24,702.82
  4. Step 4: Simplify right side
    35,725.30x = 1,323,502,987.14
  5. Step 5: Solve for x
    x = 1,323,502,987.14/35,725.30
  6. Step 6: Final answer
    x = 37,046.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.