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Finding the Fourth Proportional to 42,405, 58,520.52 and 23,541.72

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Solution

The fourth proportional to 42,405, 58,520.52 and 23,541.72 is: 32,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405 : 58,520.52 = 23,541.72 : x
  2. Step 2: Convert to fraction form
    42,405/58,520.52 = 23,541.72/x
  3. Step 3: Cross multiply
    42,405x = 58,520.52 × 23,541.72
  4. Step 4: Simplify right side
    42,405x = 1,377,673,696.09
  5. Step 5: Solve for x
    x = 1,377,673,696.09/42,405
  6. Step 6: Final answer
    x = 32,488.47

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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.