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Finding the Fourth Proportional to 35,451, 53,154.36 and 13,252.68

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Solution

The fourth proportional to 35,451, 53,154.36 and 13,252.68 is: 19,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,451 : 53,154.36 = 13,252.68 : x
  2. Step 2: Convert to fraction form
    35,451/53,154.36 = 13,252.68/x
  3. Step 3: Cross multiply
    35,451x = 53,154.36 × 13,252.68
  4. Step 4: Simplify right side
    35,451x = 704,437,723.68
  5. Step 5: Solve for x
    x = 704,437,723.68/35,451
  6. Step 6: Final answer
    x = 19,870.74

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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.