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Finding the Fourth Proportional to 78,769.38, 108,699.12 and 46,921.80

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Solution

The fourth proportional to 78,769.38, 108,699.12 and 46,921.80 is: 64,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.38 : 108,699.12 = 46,921.80 : x
  2. Step 2: Convert to fraction form
    78,769.38/108,699.12 = 46,921.80/x
  3. Step 3: Cross multiply
    78,769.38x = 108,699.12 × 46,921.80
  4. Step 4: Simplify right side
    78,769.38x = 5,100,358,368.82
  5. Step 5: Solve for x
    x = 5,100,358,368.82/78,769.38
  6. Step 6: Final answer
    x = 64,750.52

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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.