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Finding the Fourth Proportional to 43,545.60, 65,321.28 and 15,840

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Solution

The fourth proportional to 43,545.60, 65,321.28 and 15,840 is: 23,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,545.60 : 65,321.28 = 15,840 : x
  2. Step 2: Convert to fraction form
    43,545.60/65,321.28 = 15,840/x
  3. Step 3: Cross multiply
    43,545.60x = 65,321.28 × 15,840
  4. Step 4: Simplify right side
    43,545.60x = 1,034,689,075.20
  5. Step 5: Solve for x
    x = 1,034,689,075.20/43,545.60
  6. Step 6: Final answer
    x = 23,761.05

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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.