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Finding the Fourth Proportional to 65,732.60, 98,541.30 and 39,409.40

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Solution

The fourth proportional to 65,732.60, 98,541.30 and 39,409.40 is: 59,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732.60 : 98,541.30 = 39,409.40 : x
  2. Step 2: Convert to fraction form
    65,732.60/98,541.30 = 39,409.40/x
  3. Step 3: Cross multiply
    65,732.60x = 98,541.30 × 39,409.40
  4. Step 4: Simplify right side
    65,732.60x = 3,883,453,508.22
  5. Step 5: Solve for x
    x = 3,883,453,508.22/65,732.60
  6. Step 6: Final answer
    x = 59,079.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.