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Finding the Fourth Proportional to 78,884.46, 108,874.58 and 46,617.71

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Solution

The fourth proportional to 78,884.46, 108,874.58 and 46,617.71 is: 64,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,884.46 : 108,874.58 = 46,617.71 : x
  2. Step 2: Convert to fraction form
    78,884.46/108,874.58 = 46,617.71/x
  3. Step 3: Cross multiply
    78,884.46x = 108,874.58 × 46,617.71
  4. Step 4: Simplify right side
    78,884.46x = 5,075,482,819.35
  5. Step 5: Solve for x
    x = 5,075,482,819.35/78,884.46
  6. Step 6: Final answer
    x = 64,340.72

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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.