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Finding the Fourth Proportional to 52,006.09, 71,745.62 and 30,484.93

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Solution

The fourth proportional to 52,006.09, 71,745.62 and 30,484.93 is: 42,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.09 : 71,745.62 = 30,484.93 : x
  2. Step 2: Convert to fraction form
    52,006.09/71,745.62 = 30,484.93/x
  3. Step 3: Cross multiply
    52,006.09x = 71,745.62 × 30,484.93
  4. Step 4: Simplify right side
    52,006.09x = 2,187,160,203.51
  5. Step 5: Solve for x
    x = 2,187,160,203.51/52,006.09
  6. Step 6: Final answer
    x = 42,055.85

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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.