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Finding the Fourth Proportional to 83,291.22, 114,904.80 and 53,060.13

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Solution

The fourth proportional to 83,291.22, 114,904.80 and 53,060.13 is: 73,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.22 : 114,904.80 = 53,060.13 : x
  2. Step 2: Convert to fraction form
    83,291.22/114,904.80 = 53,060.13/x
  3. Step 3: Cross multiply
    83,291.22x = 114,904.80 × 53,060.13
  4. Step 4: Simplify right side
    83,291.22x = 6,096,863,625.62
  5. Step 5: Solve for x
    x = 6,096,863,625.62/83,291.22
  6. Step 6: Final answer
    x = 73,199.36

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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.