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Finding the Fourth Proportional to 34,952, 52,436.64 and 10,328

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Solution

The fourth proportional to 34,952, 52,436.64 and 10,328 is: 15,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,952 : 52,436.64 = 10,328 : x
  2. Step 2: Convert to fraction form
    34,952/52,436.64 = 10,328/x
  3. Step 3: Cross multiply
    34,952x = 52,436.64 × 10,328
  4. Step 4: Simplify right side
    34,952x = 541,565,617.92
  5. Step 5: Solve for x
    x = 541,565,617.92/34,952
  6. Step 6: Final answer
    x = 15,494.55

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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.