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Finding the Fourth Proportional to 27,946, 41,925.48 and 9,478

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Solution

The fourth proportional to 27,946, 41,925.48 and 9,478 is: 14,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946 : 41,925.48 = 9,478 : x
  2. Step 2: Convert to fraction form
    27,946/41,925.48 = 9,478/x
  3. Step 3: Cross multiply
    27,946x = 41,925.48 × 9,478
  4. Step 4: Simplify right side
    27,946x = 397,369,699.44
  5. Step 5: Solve for x
    x = 397,369,699.44/27,946
  6. Step 6: Final answer
    x = 14,219.20

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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.