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Finding the Fourth Proportional to 35,226, 52,801.76 and 13,025.12

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Solution

The fourth proportional to 35,226, 52,801.76 and 13,025.12 is: 19,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,226 : 52,801.76 = 13,025.12 : x
  2. Step 2: Convert to fraction form
    35,226/52,801.76 = 13,025.12/x
  3. Step 3: Cross multiply
    35,226x = 52,801.76 × 13,025.12
  4. Step 4: Simplify right side
    35,226x = 687,749,260.21
  5. Step 5: Solve for x
    x = 687,749,260.21/35,226
  6. Step 6: Final answer
    x = 19,523.91

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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.