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Finding the Fourth Proportional to 35,569, 53,354.22 and 10,945

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Solution

The fourth proportional to 35,569, 53,354.22 and 10,945 is: 16,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569 : 53,354.22 = 10,945 : x
  2. Step 2: Convert to fraction form
    35,569/53,354.22 = 10,945/x
  3. Step 3: Cross multiply
    35,569x = 53,354.22 × 10,945
  4. Step 4: Simplify right side
    35,569x = 583,961,937.90
  5. Step 5: Solve for x
    x = 583,961,937.90/35,569
  6. Step 6: Final answer
    x = 16,417.72

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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.