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Finding the Fourth Proportional to 65,111.68, 97,669.92 and 18,365.80

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Solution

The fourth proportional to 65,111.68, 97,669.92 and 18,365.80 is: 27,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,111.68 : 97,669.92 = 18,365.80 : x
  2. Step 2: Convert to fraction form
    65,111.68/97,669.92 = 18,365.80/x
  3. Step 3: Cross multiply
    65,111.68x = 97,669.92 × 18,365.80
  4. Step 4: Simplify right side
    65,111.68x = 1,793,786,216.74
  5. Step 5: Solve for x
    x = 1,793,786,216.74/65,111.68
  6. Step 6: Final answer
    x = 27,549.38

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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.