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Finding the Fourth Proportional to 55,980.36, 77,251.86 and 30,829.32

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Solution

The fourth proportional to 55,980.36, 77,251.86 and 30,829.32 is: 42,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980.36 : 77,251.86 = 30,829.32 : x
  2. Step 2: Convert to fraction form
    55,980.36/77,251.86 = 30,829.32/x
  3. Step 3: Cross multiply
    55,980.36x = 77,251.86 × 30,829.32
  4. Step 4: Simplify right side
    55,980.36x = 2,381,622,312.54
  5. Step 5: Solve for x
    x = 2,381,622,312.54/55,980.36
  6. Step 6: Final answer
    x = 42,543.89

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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.