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Finding the Fourth Proportional to 65,340.86, 97,999.56 and 17,309.78

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Solution

The fourth proportional to 65,340.86, 97,999.56 and 17,309.78 is: 25,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340.86 : 97,999.56 = 17,309.78 : x
  2. Step 2: Convert to fraction form
    65,340.86/97,999.56 = 17,309.78/x
  3. Step 3: Cross multiply
    65,340.86x = 97,999.56 × 17,309.78
  4. Step 4: Simplify right side
    65,340.86x = 1,696,350,823.70
  5. Step 5: Solve for x
    x = 1,696,350,823.70/65,340.86
  6. Step 6: Final answer
    x = 25,961.56

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1.5x scale

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.