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Finding the Fourth Proportional to 78,538.34, 108,382.94 and 44,535.93

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Solution

The fourth proportional to 78,538.34, 108,382.94 and 44,535.93 is: 61,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.34 : 108,382.94 = 44,535.93 : x
  2. Step 2: Convert to fraction form
    78,538.34/108,382.94 = 44,535.93/x
  3. Step 3: Cross multiply
    78,538.34x = 108,382.94 × 44,535.93
  4. Step 4: Simplify right side
    78,538.34x = 4,826,934,806.35
  5. Step 5: Solve for x
    x = 4,826,934,806.35/78,538.34
  6. Step 6: Final answer
    x = 61,459.60

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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.