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Finding the Fourth Proportional to 74,412.13, 102,683.42 and 42,137.48

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Solution

The fourth proportional to 74,412.13, 102,683.42 and 42,137.48 is: 58,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412.13 : 102,683.42 = 42,137.48 : x
  2. Step 2: Convert to fraction form
    74,412.13/102,683.42 = 42,137.48/x
  3. Step 3: Cross multiply
    74,412.13x = 102,683.42 × 42,137.48
  4. Step 4: Simplify right side
    74,412.13x = 4,326,820,148.51
  5. Step 5: Solve for x
    x = 4,326,820,148.51/74,412.13
  6. Step 6: Final answer
    x = 58,146.71

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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.