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Finding the Fourth Proportional to 85,470.71, 117,948.93 and 47,232.84

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Solution

The fourth proportional to 85,470.71, 117,948.93 and 47,232.84 is: 65,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,470.71 : 117,948.93 = 47,232.84 : x
  2. Step 2: Convert to fraction form
    85,470.71/117,948.93 = 47,232.84/x
  3. Step 3: Cross multiply
    85,470.71x = 117,948.93 × 47,232.84
  4. Step 4: Simplify right side
    85,470.71x = 5,571,062,467.20
  5. Step 5: Solve for x
    x = 5,571,062,467.20/85,470.71
  6. Step 6: Final answer
    x = 65,180.96

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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.