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Finding the Fourth Proportional to 65,347.56, 98,040.06 and 20,973.24

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Solution

The fourth proportional to 65,347.56, 98,040.06 and 20,973.24 is: 31,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347.56 : 98,040.06 = 20,973.24 : x
  2. Step 2: Convert to fraction form
    65,347.56/98,040.06 = 20,973.24/x
  3. Step 3: Cross multiply
    65,347.56x = 98,040.06 × 20,973.24
  4. Step 4: Simplify right side
    65,347.56x = 2,056,217,707.99
  5. Step 5: Solve for x
    x = 2,056,217,707.99/65,347.56
  6. Step 6: Final answer
    x = 31,465.87

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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.