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Finding the Fourth Proportional to 34,926, 52,399.08 and 10,302

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Solution

The fourth proportional to 34,926, 52,399.08 and 10,302 is: 15,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,926 : 52,399.08 = 10,302 : x
  2. Step 2: Convert to fraction form
    34,926/52,399.08 = 10,302/x
  3. Step 3: Cross multiply
    34,926x = 52,399.08 × 10,302
  4. Step 4: Simplify right side
    34,926x = 539,815,322.16
  5. Step 5: Solve for x
    x = 539,815,322.16/34,926
  6. Step 6: Final answer
    x = 15,455.97

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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.