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Finding the Fourth Proportional to 53,341.56, 73,610.28 and 29,468

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Solution

The fourth proportional to 53,341.56, 73,610.28 and 29,468 is: 40,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,341.56 : 73,610.28 = 29,468 : x
  2. Step 2: Convert to fraction form
    53,341.56/73,610.28 = 29,468/x
  3. Step 3: Cross multiply
    53,341.56x = 73,610.28 × 29,468
  4. Step 4: Simplify right side
    53,341.56x = 2,169,147,731.04
  5. Step 5: Solve for x
    x = 2,169,147,731.04/53,341.56
  6. Step 6: Final answer
    x = 40,665.25

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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.