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Finding the Fourth Proportional to 33,041.86, 49,580.98 and 14,322.05

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Solution

The fourth proportional to 33,041.86, 49,580.98 and 14,322.05 is: 21,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041.86 : 49,580.98 = 14,322.05 : x
  2. Step 2: Convert to fraction form
    33,041.86/49,580.98 = 14,322.05/x
  3. Step 3: Cross multiply
    33,041.86x = 49,580.98 × 14,322.05
  4. Step 4: Simplify right side
    33,041.86x = 710,101,176.83
  5. Step 5: Solve for x
    x = 710,101,176.83/33,041.86
  6. Step 6: Final answer
    x = 21,490.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.