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Finding the Fourth Proportional to 59,941, 89,915.82 and 23,005

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Solution

The fourth proportional to 59,941, 89,915.82 and 23,005 is: 34,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,941 : 89,915.82 = 23,005 : x
  2. Step 2: Convert to fraction form
    59,941/89,915.82 = 23,005/x
  3. Step 3: Cross multiply
    59,941x = 89,915.82 × 23,005
  4. Step 4: Simplify right side
    59,941x = 2,068,513,439.10
  5. Step 5: Solve for x
    x = 2,068,513,439.10/59,941
  6. Step 6: Final answer
    x = 34,509.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.