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Finding the Fourth Proportional to 144,577.84, 216,812.82 and 49,781.24

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Solution

The fourth proportional to 144,577.84, 216,812.82 and 49,781.24 is: 74,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,577.84 : 216,812.82 = 49,781.24 : x
  2. Step 2: Convert to fraction form
    144,577.84/216,812.82 = 49,781.24/x
  3. Step 3: Cross multiply
    144,577.84x = 216,812.82 × 49,781.24
  4. Step 4: Simplify right side
    144,577.84x = 10,793,211,027.50
  5. Step 5: Solve for x
    x = 10,793,211,027.50/144,577.84
  6. Step 6: Final answer
    x = 74,653.29

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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.