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Finding the Fourth Proportional to 28,645.78, 42,853.80 and 23,725

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Solution

The fourth proportional to 28,645.78, 42,853.80 and 23,725 is: 35,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,645.78 : 42,853.80 = 23,725 : x
  2. Step 2: Convert to fraction form
    28,645.78/42,853.80 = 23,725/x
  3. Step 3: Cross multiply
    28,645.78x = 42,853.80 × 23,725
  4. Step 4: Simplify right side
    28,645.78x = 1,016,706,405.00
  5. Step 5: Solve for x
    x = 1,016,706,405.00/28,645.78
  6. Step 6: Final answer
    x = 35,492.36

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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.