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Finding the Fourth Proportional to 69,792.30, 96,312.24 and 37,962

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Solution

The fourth proportional to 69,792.30, 96,312.24 and 37,962 is: 52,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,792.30 : 96,312.24 = 37,962 : x
  2. Step 2: Convert to fraction form
    69,792.30/96,312.24 = 37,962/x
  3. Step 3: Cross multiply
    69,792.30x = 96,312.24 × 37,962
  4. Step 4: Simplify right side
    69,792.30x = 3,656,205,254.88
  5. Step 5: Solve for x
    x = 3,656,205,254.88/69,792.30
  6. Step 6: Final answer
    x = 52,386.94

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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.