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Finding the Fourth Proportional to 27,297.94, 40,948.08 and 9,530.39

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Solution

The fourth proportional to 27,297.94, 40,948.08 and 9,530.39 is: 14,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297.94 : 40,948.08 = 9,530.39 : x
  2. Step 2: Convert to fraction form
    27,297.94/40,948.08 = 9,530.39/x
  3. Step 3: Cross multiply
    27,297.94x = 40,948.08 × 9,530.39
  4. Step 4: Simplify right side
    27,297.94x = 390,251,148.33
  5. Step 5: Solve for x
    x = 390,251,148.33/27,297.94
  6. Step 6: Final answer
    x = 14,295.99

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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.