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Finding the Fourth Proportional to 48,876.63, 73,315.75 and 19,294.21

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Solution

The fourth proportional to 48,876.63, 73,315.75 and 19,294.21 is: 28,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,876.63 : 73,315.75 = 19,294.21 : x
  2. Step 2: Convert to fraction form
    48,876.63/73,315.75 = 19,294.21/x
  3. Step 3: Cross multiply
    48,876.63x = 73,315.75 × 19,294.21
  4. Step 4: Simplify right side
    48,876.63x = 1,414,569,476.81
  5. Step 5: Solve for x
    x = 1,414,569,476.81/48,876.63
  6. Step 6: Final answer
    x = 28,941.63

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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.