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Finding the Fourth Proportional to 98,308, 147,462.54 and 24,436

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Solution

The fourth proportional to 98,308, 147,462.54 and 24,436 is: 36,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,308 : 147,462.54 = 24,436 : x
  2. Step 2: Convert to fraction form
    98,308/147,462.54 = 24,436/x
  3. Step 3: Cross multiply
    98,308x = 147,462.54 × 24,436
  4. Step 4: Simplify right side
    98,308x = 3,603,394,627.44
  5. Step 5: Solve for x
    x = 3,603,394,627.44/98,308
  6. Step 6: Final answer
    x = 36,654.13

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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.