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Finding the Fourth Proportional to 55,856, 77,081.82 and 30,706.04

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Solution

The fourth proportional to 55,856, 77,081.82 and 30,706.04 is: 42,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856 : 77,081.82 = 30,706.04 : x
  2. Step 2: Convert to fraction form
    55,856/77,081.82 = 30,706.04/x
  3. Step 3: Cross multiply
    55,856x = 77,081.82 × 30,706.04
  4. Step 4: Simplify right side
    55,856x = 2,366,877,448.19
  5. Step 5: Solve for x
    x = 2,366,877,448.19/55,856
  6. Step 6: Final answer
    x = 42,374.63

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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.