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Finding the Fourth Proportional to 54,294.35, 74,925.47 and 30,421.49

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Solution

The fourth proportional to 54,294.35, 74,925.47 and 30,421.49 is: 41,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,294.35 : 74,925.47 = 30,421.49 : x
  2. Step 2: Convert to fraction form
    54,294.35/74,925.47 = 30,421.49/x
  3. Step 3: Cross multiply
    54,294.35x = 74,925.47 × 30,421.49
  4. Step 4: Simplify right side
    54,294.35x = 2,279,344,137.78
  5. Step 5: Solve for x
    x = 2,279,344,137.78/54,294.35
  6. Step 6: Final answer
    x = 41,981.24

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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.