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Finding the Fourth Proportional to 56,238.30, 77,609.14 and 30,744.29

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Solution

The fourth proportional to 56,238.30, 77,609.14 and 30,744.29 is: 42,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,238.30 : 77,609.14 = 30,744.29 : x
  2. Step 2: Convert to fraction form
    56,238.30/77,609.14 = 30,744.29/x
  3. Step 3: Cross multiply
    56,238.30x = 77,609.14 × 30,744.29
  4. Step 4: Simplify right side
    56,238.30x = 2,386,038,023.97
  5. Step 5: Solve for x
    x = 2,386,038,023.97/56,238.30
  6. Step 6: Final answer
    x = 42,427.28

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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.