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Finding the Fourth Proportional to 144,523.32, 216,731.12 and 49,727.00

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Solution

The fourth proportional to 144,523.32, 216,731.12 and 49,727.00 is: 74,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,523.32 : 216,731.12 = 49,727.00 : x
  2. Step 2: Convert to fraction form
    144,523.32/216,731.12 = 49,727.00/x
  3. Step 3: Cross multiply
    144,523.32x = 216,731.12 × 49,727.00
  4. Step 4: Simplify right side
    144,523.32x = 10,777,387,071.95
  5. Step 5: Solve for x
    x = 10,777,387,071.95/144,523.32
  6. Step 6: Final answer
    x = 74,571.96

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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.