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Finding the Fourth Proportional to 54,643.32, 75,407.04 and 30,770.28

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Solution

The fourth proportional to 54,643.32, 75,407.04 and 30,770.28 is: 42,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.32 : 75,407.04 = 30,770.28 : x
  2. Step 2: Convert to fraction form
    54,643.32/75,407.04 = 30,770.28/x
  3. Step 3: Cross multiply
    54,643.32x = 75,407.04 × 30,770.28
  4. Step 4: Simplify right side
    54,643.32x = 2,320,295,734.77
  5. Step 5: Solve for x
    x = 2,320,295,734.77/54,643.32
  6. Step 6: Final answer
    x = 42,462.57

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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.