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Finding the Fourth Proportional to 65,527.74, 90,428.07 and 35,719.74

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Solution

The fourth proportional to 65,527.74, 90,428.07 and 35,719.74 is: 49,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,527.74 : 90,428.07 = 35,719.74 : x
  2. Step 2: Convert to fraction form
    65,527.74/90,428.07 = 35,719.74/x
  3. Step 3: Cross multiply
    65,527.74x = 90,428.07 × 35,719.74
  4. Step 4: Simplify right side
    65,527.74x = 3,230,067,149.10
  5. Step 5: Solve for x
    x = 3,230,067,149.10/65,527.74
  6. Step 6: Final answer
    x = 49,293.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.