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Finding the Fourth Proportional to 46,459.20, 69,721.20 and 29,859.60

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Solution

The fourth proportional to 46,459.20, 69,721.20 and 29,859.60 is: 44,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.20 : 69,721.20 = 29,859.60 : x
  2. Step 2: Convert to fraction form
    46,459.20/69,721.20 = 29,859.60/x
  3. Step 3: Cross multiply
    46,459.20x = 69,721.20 × 29,859.60
  4. Step 4: Simplify right side
    46,459.20x = 2,081,847,143.52
  5. Step 5: Solve for x
    x = 2,081,847,143.52/46,459.20
  6. Step 6: Final answer
    x = 44,810.22

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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.