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Finding the Fourth Proportional to 78,286.50, 108,035.37 and 44,752.50

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Solution

The fourth proportional to 78,286.50, 108,035.37 and 44,752.50 is: 61,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.50 : 108,035.37 = 44,752.50 : x
  2. Step 2: Convert to fraction form
    78,286.50/108,035.37 = 44,752.50/x
  3. Step 3: Cross multiply
    78,286.50x = 108,035.37 × 44,752.50
  4. Step 4: Simplify right side
    78,286.50x = 4,834,852,895.93
  5. Step 5: Solve for x
    x = 4,834,852,895.93/78,286.50
  6. Step 6: Final answer
    x = 61,758.45

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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.