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Finding the Fourth Proportional to 42,138.98, 58,152.00 and 23,019.02

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Solution

The fourth proportional to 42,138.98, 58,152.00 and 23,019.02 is: 31,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.98 : 58,152.00 = 23,019.02 : x
  2. Step 2: Convert to fraction form
    42,138.98/58,152.00 = 23,019.02/x
  3. Step 3: Cross multiply
    42,138.98x = 58,152.00 × 23,019.02
  4. Step 4: Simplify right side
    42,138.98x = 1,338,602,262.29
  5. Step 5: Solve for x
    x = 1,338,602,262.29/42,138.98
  6. Step 6: Final answer
    x = 31,766.36

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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.