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Finding the Fourth Proportional to 54,483.66, 75,189.38 and 30,609.86

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Solution

The fourth proportional to 54,483.66, 75,189.38 and 30,609.86 is: 42,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,483.66 : 75,189.38 = 30,609.86 : x
  2. Step 2: Convert to fraction form
    54,483.66/75,189.38 = 30,609.86/x
  3. Step 3: Cross multiply
    54,483.66x = 75,189.38 × 30,609.86
  4. Step 4: Simplify right side
    54,483.66x = 2,301,535,866.29
  5. Step 5: Solve for x
    x = 2,301,535,866.29/54,483.66
  6. Step 6: Final answer
    x = 42,242.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.