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Finding the Fourth Proportional to 144,522.82, 216,730.36 and 49,726.50

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Solution

The fourth proportional to 144,522.82, 216,730.36 and 49,726.50 is: 74,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,522.82 : 216,730.36 = 49,726.50 : x
  2. Step 2: Convert to fraction form
    144,522.82/216,730.36 = 49,726.50/x
  3. Step 3: Cross multiply
    144,522.82x = 216,730.36 × 49,726.50
  4. Step 4: Simplify right side
    144,522.82x = 10,777,242,246.54
  5. Step 5: Solve for x
    x = 10,777,242,246.54/144,522.82
  6. Step 6: Final answer
    x = 74,571.21

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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.