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Finding the Fourth Proportional to 35,882.88, 53,785.44 and 17,376

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Solution

The fourth proportional to 35,882.88, 53,785.44 and 17,376 is: 26,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.88 : 53,785.44 = 17,376 : x
  2. Step 2: Convert to fraction form
    35,882.88/53,785.44 = 17,376/x
  3. Step 3: Cross multiply
    35,882.88x = 53,785.44 × 17,376
  4. Step 4: Simplify right side
    35,882.88x = 934,575,805.44
  5. Step 5: Solve for x
    x = 934,575,805.44/35,882.88
  6. Step 6: Final answer
    x = 26,045.17

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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.