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Finding the Fourth Proportional to 77,951.64, 107,574.30 and 46,119.72

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Solution

The fourth proportional to 77,951.64, 107,574.30 and 46,119.72 is: 63,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951.64 : 107,574.30 = 46,119.72 : x
  2. Step 2: Convert to fraction form
    77,951.64/107,574.30 = 46,119.72/x
  3. Step 3: Cross multiply
    77,951.64x = 107,574.30 × 46,119.72
  4. Step 4: Simplify right side
    77,951.64x = 4,961,296,595.20
  5. Step 5: Solve for x
    x = 4,961,296,595.20/77,951.64
  6. Step 6: Final answer
    x = 63,645.83

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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.