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Finding the Fourth Proportional to 83,008.40, 114,557.02 and 47,201.74

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Solution

The fourth proportional to 83,008.40, 114,557.02 and 47,201.74 is: 65,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.40 : 114,557.02 = 47,201.74 : x
  2. Step 2: Convert to fraction form
    83,008.40/114,557.02 = 47,201.74/x
  3. Step 3: Cross multiply
    83,008.40x = 114,557.02 × 47,201.74
  4. Step 4: Simplify right side
    83,008.40x = 5,407,290,673.21
  5. Step 5: Solve for x
    x = 5,407,290,673.21/83,008.40
  6. Step 6: Final answer
    x = 65,141.49

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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.