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Finding the Fourth Proportional to 65,075.68, 89,825.52 and 38,217.52

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Solution

The fourth proportional to 65,075.68, 89,825.52 and 38,217.52 is: 52,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.68 : 89,825.52 = 38,217.52 : x
  2. Step 2: Convert to fraction form
    65,075.68/89,825.52 = 38,217.52/x
  3. Step 3: Cross multiply
    65,075.68x = 89,825.52 × 38,217.52
  4. Step 4: Simplify right side
    65,075.68x = 3,432,908,607.11
  5. Step 5: Solve for x
    x = 3,432,908,607.11/65,075.68
  6. Step 6: Final answer
    x = 52,752.56

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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.