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Finding the Fourth Proportional to 83,866.88, 115,764.72 and 52,054.40

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Solution

The fourth proportional to 83,866.88, 115,764.72 and 52,054.40 is: 71,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866.88 : 115,764.72 = 52,054.40 : x
  2. Step 2: Convert to fraction form
    83,866.88/115,764.72 = 52,054.40/x
  3. Step 3: Cross multiply
    83,866.88x = 115,764.72 × 52,054.40
  4. Step 4: Simplify right side
    83,866.88x = 6,026,063,040.77
  5. Step 5: Solve for x
    x = 6,026,063,040.77/83,866.88
  6. Step 6: Final answer
    x = 71,852.72

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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.