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Finding the Fourth Proportional to 49,602.48, 74,397.24 and 21,894

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Solution

The fourth proportional to 49,602.48, 74,397.24 and 21,894 is: 32,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,602.48 : 74,397.24 = 21,894 : x
  2. Step 2: Convert to fraction form
    49,602.48/74,397.24 = 21,894/x
  3. Step 3: Cross multiply
    49,602.48x = 74,397.24 × 21,894
  4. Step 4: Simplify right side
    49,602.48x = 1,628,853,172.56
  5. Step 5: Solve for x
    x = 1,628,853,172.56/49,602.48
  6. Step 6: Final answer
    x = 32,838.14

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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.