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Finding the Fourth Proportional to 78,946.38, 108,895.59 and 47,097.18

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Solution

The fourth proportional to 78,946.38, 108,895.59 and 47,097.18 is: 64,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,946.38 : 108,895.59 = 47,097.18 : x
  2. Step 2: Convert to fraction form
    78,946.38/108,895.59 = 47,097.18/x
  3. Step 3: Cross multiply
    78,946.38x = 108,895.59 × 47,097.18
  4. Step 4: Simplify right side
    78,946.38x = 5,128,675,203.44
  5. Step 5: Solve for x
    x = 5,128,675,203.44/78,946.38
  6. Step 6: Final answer
    x = 64,964.03

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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.