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Finding the Fourth Proportional to 42,690, 58,915.05 and 23,827.53

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Solution

The fourth proportional to 42,690, 58,915.05 and 23,827.53 is: 32,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,690 : 58,915.05 = 23,827.53 : x
  2. Step 2: Convert to fraction form
    42,690/58,915.05 = 23,827.53/x
  3. Step 3: Cross multiply
    42,690x = 58,915.05 × 23,827.53
  4. Step 4: Simplify right side
    42,690x = 1,403,800,121.33
  5. Step 5: Solve for x
    x = 1,403,800,121.33/42,690
  6. Step 6: Final answer
    x = 32,883.58

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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.