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Finding the Fourth Proportional to 84,395.28, 116,461.28 and 46,156.80

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Solution

The fourth proportional to 84,395.28, 116,461.28 and 46,156.80 is: 63,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,395.28 : 116,461.28 = 46,156.80 : x
  2. Step 2: Convert to fraction form
    84,395.28/116,461.28 = 46,156.80/x
  3. Step 3: Cross multiply
    84,395.28x = 116,461.28 × 46,156.80
  4. Step 4: Simplify right side
    84,395.28x = 5,375,480,008.70
  5. Step 5: Solve for x
    x = 5,375,480,008.70/84,395.28
  6. Step 6: Final answer
    x = 63,694.08

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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.