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Finding the Fourth Proportional to 71,657.69, 98,886.89 and 39,825.90

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Solution

The fourth proportional to 71,657.69, 98,886.89 and 39,825.90 is: 54,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657.69 : 98,886.89 = 39,825.90 : x
  2. Step 2: Convert to fraction form
    71,657.69/98,886.89 = 39,825.90/x
  3. Step 3: Cross multiply
    71,657.69x = 98,886.89 × 39,825.90
  4. Step 4: Simplify right side
    71,657.69x = 3,938,259,492.02
  5. Step 5: Solve for x
    x = 3,938,259,492.02/71,657.69
  6. Step 6: Final answer
    x = 54,959.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.