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Finding the Fourth Proportional to 30,307.13, 41,822.99 and 16,878.38

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Solution

The fourth proportional to 30,307.13, 41,822.99 and 16,878.38 is: 23,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.13 : 41,822.99 = 16,878.38 : x
  2. Step 2: Convert to fraction form
    30,307.13/41,822.99 = 16,878.38/x
  3. Step 3: Cross multiply
    30,307.13x = 41,822.99 × 16,878.38
  4. Step 4: Simplify right side
    30,307.13x = 705,904,024.45
  5. Step 5: Solve for x
    x = 705,904,024.45/30,307.13
  6. Step 6: Final answer
    x = 23,291.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.