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Finding the Fourth Proportional to 98,523.90, 147,788.10 and 35,348.22

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Solution

The fourth proportional to 98,523.90, 147,788.10 and 35,348.22 is: 53,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523.90 : 147,788.10 = 35,348.22 : x
  2. Step 2: Convert to fraction form
    98,523.90/147,788.10 = 35,348.22/x
  3. Step 3: Cross multiply
    98,523.90x = 147,788.10 × 35,348.22
  4. Step 4: Simplify right side
    98,523.90x = 5,224,046,272.18
  5. Step 5: Solve for x
    x = 5,224,046,272.18/98,523.90
  6. Step 6: Final answer
    x = 53,023.14

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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.