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Finding the Fourth Proportional to 78,230.40, 107,952.96 and 44,695.68

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Solution

The fourth proportional to 78,230.40, 107,952.96 and 44,695.68 is: 61,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.40 : 107,952.96 = 44,695.68 : x
  2. Step 2: Convert to fraction form
    78,230.40/107,952.96 = 44,695.68/x
  3. Step 3: Cross multiply
    78,230.40x = 107,952.96 × 44,695.68
  4. Step 4: Simplify right side
    78,230.40x = 4,825,030,955.21
  5. Step 5: Solve for x
    x = 4,825,030,955.21/78,230.40
  6. Step 6: Final answer
    x = 61,677.19

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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.