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Finding the Fourth Proportional to 46,978.83, 70,468.24 and 40,634.85

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Solution

The fourth proportional to 46,978.83, 70,468.24 and 40,634.85 is: 60,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.83 : 70,468.24 = 40,634.85 : x
  2. Step 2: Convert to fraction form
    46,978.83/70,468.24 = 40,634.85/x
  3. Step 3: Cross multiply
    46,978.83x = 70,468.24 × 40,634.85
  4. Step 4: Simplify right side
    46,978.83x = 2,863,466,158.99
  5. Step 5: Solve for x
    x = 2,863,466,158.99/46,978.83
  6. Step 6: Final answer
    x = 60,952.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.