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Finding the Fourth Proportional to 46,508.40, 69,270.12 and 46,281.78

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Solution

The fourth proportional to 46,508.40, 69,270.12 and 46,281.78 is: 68,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508.40 : 69,270.12 = 46,281.78 : x
  2. Step 2: Convert to fraction form
    46,508.40/69,270.12 = 46,281.78/x
  3. Step 3: Cross multiply
    46,508.40x = 69,270.12 × 46,281.78
  4. Step 4: Simplify right side
    46,508.40x = 3,205,944,454.41
  5. Step 5: Solve for x
    x = 3,205,944,454.41/46,508.40
  6. Step 6: Final answer
    x = 68,932.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.