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Finding the Fourth Proportional to 53,202.68, 73,419.68 and 29,329.76

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Solution

The fourth proportional to 53,202.68, 73,419.68 and 29,329.76 is: 40,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,202.68 : 73,419.68 = 29,329.76 : x
  2. Step 2: Convert to fraction form
    53,202.68/73,419.68 = 29,329.76/x
  3. Step 3: Cross multiply
    53,202.68x = 73,419.68 × 29,329.76
  4. Step 4: Simplify right side
    53,202.68x = 2,153,381,593.68
  5. Step 5: Solve for x
    x = 2,153,381,593.68/53,202.68
  6. Step 6: Final answer
    x = 40,475.06

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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.