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Finding the Fourth Proportional to 83,746.87, 125,628.50 and 27,564.05

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Solution

The fourth proportional to 83,746.87, 125,628.50 and 27,564.05 is: 41,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,746.87 : 125,628.50 = 27,564.05 : x
  2. Step 2: Convert to fraction form
    83,746.87/125,628.50 = 27,564.05/x
  3. Step 3: Cross multiply
    83,746.87x = 125,628.50 × 27,564.05
  4. Step 4: Simplify right side
    83,746.87x = 3,462,830,638.41
  5. Step 5: Solve for x
    x = 3,462,830,638.41/83,746.87
  6. Step 6: Final answer
    x = 41,348.78

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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.