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Finding the Fourth Proportional to 42,146.66, 58,162.14 and 23,283.74

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Solution

The fourth proportional to 42,146.66, 58,162.14 and 23,283.74 is: 32,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,146.66 : 58,162.14 = 23,283.74 : x
  2. Step 2: Convert to fraction form
    42,146.66/58,162.14 = 23,283.74/x
  3. Step 3: Cross multiply
    42,146.66x = 58,162.14 × 23,283.74
  4. Step 4: Simplify right side
    42,146.66x = 1,354,232,145.60
  5. Step 5: Solve for x
    x = 1,354,232,145.60/42,146.66
  6. Step 6: Final answer
    x = 32,131.42

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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.