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Finding the Fourth Proportional to 97,328.52, 145,992.51 and 23,456.52

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Solution

The fourth proportional to 97,328.52, 145,992.51 and 23,456.52 is: 35,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,328.52 : 145,992.51 = 23,456.52 : x
  2. Step 2: Convert to fraction form
    97,328.52/145,992.51 = 23,456.52/x
  3. Step 3: Cross multiply
    97,328.52x = 145,992.51 × 23,456.52
  4. Step 4: Simplify right side
    97,328.52x = 3,424,476,230.67
  5. Step 5: Solve for x
    x = 3,424,476,230.67/97,328.52
  6. Step 6: Final answer
    x = 35,184.71

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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.