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Finding the Fourth Proportional to 97,324, 145,986 and 23,452

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Solution

The fourth proportional to 97,324, 145,986 and 23,452 is: 35,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,324 : 145,986 = 23,452 : x
  2. Step 2: Convert to fraction form
    97,324/145,986 = 23,452/x
  3. Step 3: Cross multiply
    97,324x = 145,986 × 23,452
  4. Step 4: Simplify right side
    97,324x = 3,423,663,672
  5. Step 5: Solve for x
    x = 3,423,663,672/97,324
  6. Step 6: Final answer
    x = 35,178

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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.