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Finding the Fourth Proportional to 78,068.81, 107,734.96 and 44,534.81

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Solution

The fourth proportional to 78,068.81, 107,734.96 and 44,534.81 is: 61,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068.81 : 107,734.96 = 44,534.81 : x
  2. Step 2: Convert to fraction form
    78,068.81/107,734.96 = 44,534.81/x
  3. Step 3: Cross multiply
    78,068.81x = 107,734.96 × 44,534.81
  4. Step 4: Simplify right side
    78,068.81x = 4,797,956,298.96
  5. Step 5: Solve for x
    x = 4,797,956,298.96/78,068.81
  6. Step 6: Final answer
    x = 61,458.04

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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.