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Finding the Fourth Proportional to 53,293.71, 73,544.87 and 29,419.88

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Solution

The fourth proportional to 53,293.71, 73,544.87 and 29,419.88 is: 40,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,293.71 : 73,544.87 = 29,419.88 : x
  2. Step 2: Convert to fraction form
    53,293.71/73,544.87 = 29,419.88/x
  3. Step 3: Cross multiply
    53,293.71x = 73,544.87 × 29,419.88
  4. Step 4: Simplify right side
    53,293.71x = 2,163,680,997.21
  5. Step 5: Solve for x
    x = 2,163,680,997.21/53,293.71
  6. Step 6: Final answer
    x = 40,599.18

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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.