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Finding the Fourth Proportional to 74,542.14, 102,870 and 40,552.52

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Solution

The fourth proportional to 74,542.14, 102,870 and 40,552.52 is: 55,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,542.14 : 102,870 = 40,552.52 : x
  2. Step 2: Convert to fraction form
    74,542.14/102,870 = 40,552.52/x
  3. Step 3: Cross multiply
    74,542.14x = 102,870 × 40,552.52
  4. Step 4: Simplify right side
    74,542.14x = 4,171,637,218.05
  5. Step 5: Solve for x
    x = 4,171,637,218.05/74,542.14
  6. Step 6: Final answer
    x = 55,963.48

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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.