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Finding the Fourth Proportional to 38,661.12, 53,459.70 and 30,689.50

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Solution

The fourth proportional to 38,661.12, 53,459.70 and 30,689.50 is: 42,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.12 : 53,459.70 = 30,689.50 : x
  2. Step 2: Convert to fraction form
    38,661.12/53,459.70 = 30,689.50/x
  3. Step 3: Cross multiply
    38,661.12x = 53,459.70 × 30,689.50
  4. Step 4: Simplify right side
    38,661.12x = 1,640,651,463.15
  5. Step 5: Solve for x
    x = 1,640,651,463.15/38,661.12
  6. Step 6: Final answer
    x = 42,436.73

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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.