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Finding the Fourth Proportional to 53,649.72, 74,035.50 and 29,775

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Solution

The fourth proportional to 53,649.72, 74,035.50 and 29,775 is: 41,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649.72 : 74,035.50 = 29,775 : x
  2. Step 2: Convert to fraction form
    53,649.72/74,035.50 = 29,775/x
  3. Step 3: Cross multiply
    53,649.72x = 74,035.50 × 29,775
  4. Step 4: Simplify right side
    53,649.72x = 2,204,407,012.50
  5. Step 5: Solve for x
    x = 2,204,407,012.50/53,649.72
  6. Step 6: Final answer
    x = 41,088.88

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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.