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Finding the Fourth Proportional to 53,073.84, 73,239.84 and 29,200.08

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Solution

The fourth proportional to 53,073.84, 73,239.84 and 29,200.08 is: 40,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,073.84 : 73,239.84 = 29,200.08 : x
  2. Step 2: Convert to fraction form
    53,073.84/73,239.84 = 29,200.08/x
  3. Step 3: Cross multiply
    53,073.84x = 73,239.84 × 29,200.08
  4. Step 4: Simplify right side
    53,073.84x = 2,138,609,187.19
  5. Step 5: Solve for x
    x = 2,138,609,187.19/53,073.84
  6. Step 6: Final answer
    x = 40,294.98

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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.