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Finding the Fourth Proportional to 81,649.28, 112,674.98 and 45,838.38

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Solution

The fourth proportional to 81,649.28, 112,674.98 and 45,838.38 is: 63,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649.28 : 112,674.98 = 45,838.38 : x
  2. Step 2: Convert to fraction form
    81,649.28/112,674.98 = 45,838.38/x
  3. Step 3: Cross multiply
    81,649.28x = 112,674.98 × 45,838.38
  4. Step 4: Simplify right side
    81,649.28x = 5,164,838,549.73
  5. Step 5: Solve for x
    x = 5,164,838,549.73/81,649.28
  6. Step 6: Final answer
    x = 63,256.39

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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.