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Finding the Fourth Proportional to 98,295, 147,442.50 and 24,423

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Solution

The fourth proportional to 98,295, 147,442.50 and 24,423 is: 36,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,295 : 147,442.50 = 24,423 : x
  2. Step 2: Convert to fraction form
    98,295/147,442.50 = 24,423/x
  3. Step 3: Cross multiply
    98,295x = 147,442.50 × 24,423
  4. Step 4: Simplify right side
    98,295x = 3,600,988,177.50
  5. Step 5: Solve for x
    x = 3,600,988,177.50/98,295
  6. Step 6: Final answer
    x = 36,634.50

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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.