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Finding the Fourth Proportional to 83,525.88, 115,263.66 and 45,283.32

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Solution

The fourth proportional to 83,525.88, 115,263.66 and 45,283.32 is: 62,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,525.88 : 115,263.66 = 45,283.32 : x
  2. Step 2: Convert to fraction form
    83,525.88/115,263.66 = 45,283.32/x
  3. Step 3: Cross multiply
    83,525.88x = 115,263.66 × 45,283.32
  4. Step 4: Simplify right side
    83,525.88x = 5,219,521,200.15
  5. Step 5: Solve for x
    x = 5,219,521,200.15/83,525.88
  6. Step 6: Final answer
    x = 62,489.87

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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.