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Finding the Fourth Proportional to 70,546.87, 105,681.84 and 40,902.40

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Solution

The fourth proportional to 70,546.87, 105,681.84 and 40,902.40 is: 61,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,546.87 : 105,681.84 = 40,902.40 : x
  2. Step 2: Convert to fraction form
    70,546.87/105,681.84 = 40,902.40/x
  3. Step 3: Cross multiply
    70,546.87x = 105,681.84 × 40,902.40
  4. Step 4: Simplify right side
    70,546.87x = 4,322,640,892.42
  5. Step 5: Solve for x
    x = 4,322,640,892.42/70,546.87
  6. Step 6: Final answer
    x = 61,273.32

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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.