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Finding the Fourth Proportional to 65,278.50, 90,084.87 and 35,470.50

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Solution

The fourth proportional to 65,278.50, 90,084.87 and 35,470.50 is: 48,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278.50 : 90,084.87 = 35,470.50 : x
  2. Step 2: Convert to fraction form
    65,278.50/90,084.87 = 35,470.50/x
  3. Step 3: Cross multiply
    65,278.50x = 90,084.87 × 35,470.50
  4. Step 4: Simplify right side
    65,278.50x = 3,195,355,381.34
  5. Step 5: Solve for x
    x = 3,195,355,381.34/65,278.50
  6. Step 6: Final answer
    x = 48,949.58

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1.5x scale

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.