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Finding the Fourth Proportional to 76,504.80, 105,574.51 and 42,512.41

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Solution

The fourth proportional to 76,504.80, 105,574.51 and 42,512.41 is: 58,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.80 : 105,574.51 = 42,512.41 : x
  2. Step 2: Convert to fraction form
    76,504.80/105,574.51 = 42,512.41/x
  3. Step 3: Cross multiply
    76,504.80x = 105,574.51 × 42,512.41
  4. Step 4: Simplify right side
    76,504.80x = 4,488,226,854.67
  5. Step 5: Solve for x
    x = 4,488,226,854.67/76,504.80
  6. Step 6: Final answer
    x = 58,665.95

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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.