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Finding the Fourth Proportional to 42,175.46, 58,202.68 and 23,054.93

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Solution

The fourth proportional to 42,175.46, 58,202.68 and 23,054.93 is: 31,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.46 : 58,202.68 = 23,054.93 : x
  2. Step 2: Convert to fraction form
    42,175.46/58,202.68 = 23,054.93/x
  3. Step 3: Cross multiply
    42,175.46x = 58,202.68 × 23,054.93
  4. Step 4: Simplify right side
    42,175.46x = 1,341,858,561.21
  5. Step 5: Solve for x
    x = 1,341,858,561.21/42,175.46
  6. Step 6: Final answer
    x = 31,816.10

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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.