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Finding the Fourth Proportional to 65,755.34, 98,657.84 and 39,478.40

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Solution

The fourth proportional to 65,755.34, 98,657.84 and 39,478.40 is: 59,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,755.34 : 98,657.84 = 39,478.40 : x
  2. Step 2: Convert to fraction form
    65,755.34/98,657.84 = 39,478.40/x
  3. Step 3: Cross multiply
    65,755.34x = 98,657.84 × 39,478.40
  4. Step 4: Simplify right side
    65,755.34x = 3,894,853,670.66
  5. Step 5: Solve for x
    x = 3,894,853,670.66/65,755.34
  6. Step 6: Final answer
    x = 59,232.51

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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.