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Finding the Fourth Proportional to 44,205, 61,002.90 and 24,333

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Solution

The fourth proportional to 44,205, 61,002.90 and 24,333 is: 33,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,205 : 61,002.90 = 24,333 : x
  2. Step 2: Convert to fraction form
    44,205/61,002.90 = 24,333/x
  3. Step 3: Cross multiply
    44,205x = 61,002.90 × 24,333
  4. Step 4: Simplify right side
    44,205x = 1,484,383,565.70
  5. Step 5: Solve for x
    x = 1,484,383,565.70/44,205
  6. Step 6: Final answer
    x = 33,579.54

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