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Finding the Fourth Proportional to 83,913.48, 115,801.38 and 46,188

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Solution

The fourth proportional to 83,913.48, 115,801.38 and 46,188 is: 63,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913.48 : 115,801.38 = 46,188 : x
  2. Step 2: Convert to fraction form
    83,913.48/115,801.38 = 46,188/x
  3. Step 3: Cross multiply
    83,913.48x = 115,801.38 × 46,188
  4. Step 4: Simplify right side
    83,913.48x = 5,348,634,139.44
  5. Step 5: Solve for x
    x = 5,348,634,139.44/83,913.48
  6. Step 6: Final answer
    x = 63,739.87

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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.