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Finding the Fourth Proportional to 30,603.83, 42,222.45 and 19,999.61

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Solution

The fourth proportional to 30,603.83, 42,222.45 and 19,999.61 is: 27,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.83 : 42,222.45 = 19,999.61 : x
  2. Step 2: Convert to fraction form
    30,603.83/42,222.45 = 19,999.61/x
  3. Step 3: Cross multiply
    30,603.83x = 42,222.45 × 19,999.61
  4. Step 4: Simplify right side
    30,603.83x = 844,432,322.13
  5. Step 5: Solve for x
    x = 844,432,322.13/30,603.83
  6. Step 6: Final answer
    x = 27,592.38

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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.