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Finding the Fourth Proportional to 74,702.25, 112,072.58 and 25,454.25

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Solution

The fourth proportional to 74,702.25, 112,072.58 and 25,454.25 is: 38,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,702.25 : 112,072.58 = 25,454.25 : x
  2. Step 2: Convert to fraction form
    74,702.25/112,072.58 = 25,454.25/x
  3. Step 3: Cross multiply
    74,702.25x = 112,072.58 × 25,454.25
  4. Step 4: Simplify right side
    74,702.25x = 2,852,723,342.19
  5. Step 5: Solve for x
    x = 2,852,723,342.19/74,702.25
  6. Step 6: Final answer
    x = 38,187.92

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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.