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Finding the Fourth Proportional to 65,299.34, 90,114.08 and 38,074.68

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Solution

The fourth proportional to 65,299.34, 90,114.08 and 38,074.68 is: 52,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,299.34 : 90,114.08 = 38,074.68 : x
  2. Step 2: Convert to fraction form
    65,299.34/90,114.08 = 38,074.68/x
  3. Step 3: Cross multiply
    65,299.34x = 90,114.08 × 38,074.68
  4. Step 4: Simplify right side
    65,299.34x = 3,431,064,569.12
  5. Step 5: Solve for x
    x = 3,431,064,569.12/65,299.34
  6. Step 6: Final answer
    x = 52,543.64

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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.