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Finding the Fourth Proportional to 35,471.60, 53,207.40 and 23,721.20

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Solution

The fourth proportional to 35,471.60, 53,207.40 and 23,721.20 is: 35,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,471.60 : 53,207.40 = 23,721.20 : x
  2. Step 2: Convert to fraction form
    35,471.60/53,207.40 = 23,721.20/x
  3. Step 3: Cross multiply
    35,471.60x = 53,207.40 × 23,721.20
  4. Step 4: Simplify right side
    35,471.60x = 1,262,143,376.88
  5. Step 5: Solve for x
    x = 1,262,143,376.88/35,471.60
  6. Step 6: Final answer
    x = 35,581.80

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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.