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Finding the Fourth Proportional to 42,218, 58,255.80 and 23,352.56

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Solution

The fourth proportional to 42,218, 58,255.80 and 23,352.56 is: 32,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,218 : 58,255.80 = 23,352.56 : x
  2. Step 2: Convert to fraction form
    42,218/58,255.80 = 23,352.56/x
  3. Step 3: Cross multiply
    42,218x = 58,255.80 × 23,352.56
  4. Step 4: Simplify right side
    42,218x = 1,360,422,064.85
  5. Step 5: Solve for x
    x = 1,360,422,064.85/42,218
  6. Step 6: Final answer
    x = 32,223.74

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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.