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Finding the Fourth Proportional to 98,523.30, 147,821.40 and 39,401.40

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Solution

The fourth proportional to 98,523.30, 147,821.40 and 39,401.40 is: 59,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523.30 : 147,821.40 = 39,401.40 : x
  2. Step 2: Convert to fraction form
    98,523.30/147,821.40 = 39,401.40/x
  3. Step 3: Cross multiply
    98,523.30x = 147,821.40 × 39,401.40
  4. Step 4: Simplify right side
    98,523.30x = 5,824,370,109.96
  5. Step 5: Solve for x
    x = 5,824,370,109.96/98,523.30
  6. Step 6: Final answer
    x = 59,116.68

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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.