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Finding the Fourth Proportional to 98,397, 147,596.04 and 24,525

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Solution

The fourth proportional to 98,397, 147,596.04 and 24,525 is: 36,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397 : 147,596.04 = 24,525 : x
  2. Step 2: Convert to fraction form
    98,397/147,596.04 = 24,525/x
  3. Step 3: Cross multiply
    98,397x = 147,596.04 × 24,525
  4. Step 4: Simplify right side
    98,397x = 3,619,792,881
  5. Step 5: Solve for x
    x = 3,619,792,881/98,397
  6. Step 6: Final answer
    x = 36,787.63

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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.