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Finding the Fourth Proportional to 35,565.84, 49,023.86 and 24,077.13

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Solution

The fourth proportional to 35,565.84, 49,023.86 and 24,077.13 is: 33,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,565.84 : 49,023.86 = 24,077.13 : x
  2. Step 2: Convert to fraction form
    35,565.84/49,023.86 = 24,077.13/x
  3. Step 3: Cross multiply
    35,565.84x = 49,023.86 × 24,077.13
  4. Step 4: Simplify right side
    35,565.84x = 1,180,353,850.32
  5. Step 5: Solve for x
    x = 1,180,353,850.32/35,565.84
  6. Step 6: Final answer
    x = 33,187.85

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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.