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Finding the Fourth Proportional to 65,729.41, 90,750.38 and 38,880.54

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Solution

The fourth proportional to 65,729.41, 90,750.38 and 38,880.54 is: 53,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729.41 : 90,750.38 = 38,880.54 : x
  2. Step 2: Convert to fraction form
    65,729.41/90,750.38 = 38,880.54/x
  3. Step 3: Cross multiply
    65,729.41x = 90,750.38 × 38,880.54
  4. Step 4: Simplify right side
    65,729.41x = 3,528,423,585.20
  5. Step 5: Solve for x
    x = 3,528,423,585.20/65,729.41
  6. Step 6: Final answer
    x = 53,681.05

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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.