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Finding the Fourth Proportional to 54,031.40, 74,564.74 and 30,157.96

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Solution

The fourth proportional to 54,031.40, 74,564.74 and 30,157.96 is: 41,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,031.40 : 74,564.74 = 30,157.96 : x
  2. Step 2: Convert to fraction form
    54,031.40/74,564.74 = 30,157.96/x
  3. Step 3: Cross multiply
    54,031.40x = 74,564.74 × 30,157.96
  4. Step 4: Simplify right side
    54,031.40x = 2,248,720,446.33
  5. Step 5: Solve for x
    x = 2,248,720,446.33/54,031.40
  6. Step 6: Final answer
    x = 41,618.77

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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.