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Finding the Fourth Proportional to 53,301.96, 73,532.34 and 30,933

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Solution

The fourth proportional to 53,301.96, 73,532.34 and 30,933 is: 42,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,301.96 : 73,532.34 = 30,933 : x
  2. Step 2: Convert to fraction form
    53,301.96/73,532.34 = 30,933/x
  3. Step 3: Cross multiply
    53,301.96x = 73,532.34 × 30,933
  4. Step 4: Simplify right side
    53,301.96x = 2,274,575,873.22
  5. Step 5: Solve for x
    x = 2,274,575,873.22/53,301.96
  6. Step 6: Final answer
    x = 42,673.40

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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.