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Finding the Fourth Proportional to 53,072.58, 73,242.03 and 29,200.98

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Solution

The fourth proportional to 53,072.58, 73,242.03 and 29,200.98 is: 40,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072.58 : 73,242.03 = 29,200.98 : x
  2. Step 2: Convert to fraction form
    53,072.58/73,242.03 = 29,200.98/x
  3. Step 3: Cross multiply
    53,072.58x = 73,242.03 × 29,200.98
  4. Step 4: Simplify right side
    53,072.58x = 2,138,739,053.19
  5. Step 5: Solve for x
    x = 2,138,739,053.19/53,072.58
  6. Step 6: Final answer
    x = 40,298.38

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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.