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Finding the Fourth Proportional to 75,245.91, 103,849.93 and 46,574.76

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Solution

The fourth proportional to 75,245.91, 103,849.93 and 46,574.76 is: 64,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,245.91 : 103,849.93 = 46,574.76 : x
  2. Step 2: Convert to fraction form
    75,245.91/103,849.93 = 46,574.76/x
  3. Step 3: Cross multiply
    75,245.91x = 103,849.93 × 46,574.76
  4. Step 4: Simplify right side
    75,245.91x = 4,836,785,708.95
  5. Step 5: Solve for x
    x = 4,836,785,708.95/75,245.91
  6. Step 6: Final answer
    x = 64,279.72

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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.