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Finding the Fourth Proportional to 39,561.48, 59,335.74 and 11,853

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Solution

The fourth proportional to 39,561.48, 59,335.74 and 11,853 is: 17,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,561.48 : 59,335.74 = 11,853 : x
  2. Step 2: Convert to fraction form
    39,561.48/59,335.74 = 11,853/x
  3. Step 3: Cross multiply
    39,561.48x = 59,335.74 × 11,853
  4. Step 4: Simplify right side
    39,561.48x = 703,306,526.22
  5. Step 5: Solve for x
    x = 703,306,526.22/39,561.48
  6. Step 6: Final answer
    x = 17,777.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.