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Finding the Fourth Proportional to 101,792.22, 140,473.62 and 56,471.10

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Solution

The fourth proportional to 101,792.22, 140,473.62 and 56,471.10 is: 77,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792.22 : 140,473.62 = 56,471.10 : x
  2. Step 2: Convert to fraction form
    101,792.22/140,473.62 = 56,471.10/x
  3. Step 3: Cross multiply
    101,792.22x = 140,473.62 × 56,471.10
  4. Step 4: Simplify right side
    101,792.22x = 7,932,699,842.38
  5. Step 5: Solve for x
    x = 7,932,699,842.38/101,792.22
  6. Step 6: Final answer
    x = 77,930.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.