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Finding the Fourth Proportional to 53,062, 73,220.76 and 29,189.68

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Solution

The fourth proportional to 53,062, 73,220.76 and 29,189.68 is: 40,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,062 : 73,220.76 = 29,189.68 : x
  2. Step 2: Convert to fraction form
    53,062/73,220.76 = 29,189.68/x
  3. Step 3: Cross multiply
    53,062x = 73,220.76 × 29,189.68
  4. Step 4: Simplify right side
    53,062x = 2,137,290,553.76
  5. Step 5: Solve for x
    x = 2,137,290,553.76/53,062
  6. Step 6: Final answer
    x = 40,279.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.