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Finding the Fourth Proportional to 53,077.76, 73,249.05 and 30,421.10

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Solution

The fourth proportional to 53,077.76, 73,249.05 and 30,421.10 is: 41,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,077.76 : 73,249.05 = 30,421.10 : x
  2. Step 2: Convert to fraction form
    53,077.76/73,249.05 = 30,421.10/x
  3. Step 3: Cross multiply
    53,077.76x = 73,249.05 × 30,421.10
  4. Step 4: Simplify right side
    53,077.76x = 2,228,316,308.71
  5. Step 5: Solve for x
    x = 2,228,316,308.71/53,077.76
  6. Step 6: Final answer
    x = 41,982.11

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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.