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Finding the Fourth Proportional to 70,142.76, 96,824.34 and 47,470.68

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Solution

The fourth proportional to 70,142.76, 96,824.34 and 47,470.68 is: 65,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.76 : 96,824.34 = 47,470.68 : x
  2. Step 2: Convert to fraction form
    70,142.76/96,824.34 = 47,470.68/x
  3. Step 3: Cross multiply
    70,142.76x = 96,824.34 × 47,470.68
  4. Step 4: Simplify right side
    70,142.76x = 4,596,317,260.35
  5. Step 5: Solve for x
    x = 4,596,317,260.35/70,142.76
  6. Step 6: Final answer
    x = 65,528.04

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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.