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Finding the Fourth Proportional to 65,046.82, 97,603.02 and 25,632.22

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Solution

The fourth proportional to 65,046.82, 97,603.02 and 25,632.22 is: 38,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046.82 : 97,603.02 = 25,632.22 : x
  2. Step 2: Convert to fraction form
    65,046.82/97,603.02 = 25,632.22/x
  3. Step 3: Cross multiply
    65,046.82x = 97,603.02 × 25,632.22
  4. Step 4: Simplify right side
    65,046.82x = 2,501,782,081.30
  5. Step 5: Solve for x
    x = 2,501,782,081.30/65,046.82
  6. Step 6: Final answer
    x = 38,461.25

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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.