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Finding the Fourth Proportional to 53,302.96, 73,533.72 and 30,934

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Solution

The fourth proportional to 53,302.96, 73,533.72 and 30,934 is: 42,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,302.96 : 73,533.72 = 30,934 : x
  2. Step 2: Convert to fraction form
    53,302.96/73,533.72 = 30,934/x
  3. Step 3: Cross multiply
    53,302.96x = 73,533.72 × 30,934
  4. Step 4: Simplify right side
    53,302.96x = 2,274,692,094.48
  5. Step 5: Solve for x
    x = 2,274,692,094.48/53,302.96
  6. Step 6: Final answer
    x = 42,674.78

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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.