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Finding the Fourth Proportional to 54,572.15, 75,309.28 and 30,699

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Solution

The fourth proportional to 54,572.15, 75,309.28 and 30,699 is: 42,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,572.15 : 75,309.28 = 30,699 : x
  2. Step 2: Convert to fraction form
    54,572.15/75,309.28 = 30,699/x
  3. Step 3: Cross multiply
    54,572.15x = 75,309.28 × 30,699
  4. Step 4: Simplify right side
    54,572.15x = 2,311,919,509.97
  5. Step 5: Solve for x
    x = 2,311,919,509.97/54,572.15
  6. Step 6: Final answer
    x = 42,364.46

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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.