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Finding the Fourth Proportional to 65,874.90, 98,812.35 and 42,255.30

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Solution

The fourth proportional to 65,874.90, 98,812.35 and 42,255.30 is: 63,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.90 : 98,812.35 = 42,255.30 : x
  2. Step 2: Convert to fraction form
    65,874.90/98,812.35 = 42,255.30/x
  3. Step 3: Cross multiply
    65,874.90x = 98,812.35 × 42,255.30
  4. Step 4: Simplify right side
    65,874.90x = 4,175,345,492.96
  5. Step 5: Solve for x
    x = 4,175,345,492.96/65,874.90
  6. Step 6: Final answer
    x = 63,382.95

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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.