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Finding the Fourth Proportional to 144,312, 216,471.24 and 49,542

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Solution

The fourth proportional to 144,312, 216,471.24 and 49,542 is: 74,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,312 : 216,471.24 = 49,542 : x
  2. Step 2: Convert to fraction form
    144,312/216,471.24 = 49,542/x
  3. Step 3: Cross multiply
    144,312x = 216,471.24 × 49,542
  4. Step 4: Simplify right side
    144,312x = 10,724,418,172.08
  5. Step 5: Solve for x
    x = 10,724,418,172.08/144,312
  6. Step 6: Final answer
    x = 74,314.11

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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.