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Finding the Fourth Proportional to 65,655.69, 98,508.36 and 25,703.24

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Solution

The fourth proportional to 65,655.69, 98,508.36 and 25,703.24 is: 38,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,655.69 : 98,508.36 = 25,703.24 : x
  2. Step 2: Convert to fraction form
    65,655.69/98,508.36 = 25,703.24/x
  3. Step 3: Cross multiply
    65,655.69x = 98,508.36 × 25,703.24
  4. Step 4: Simplify right side
    65,655.69x = 2,531,983,526.54
  5. Step 5: Solve for x
    x = 2,531,983,526.54/65,655.69
  6. Step 6: Final answer
    x = 38,564.57

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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.