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Finding the Fourth Proportional to 53,282.34, 73,528.51 and 29,082.50

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Solution

The fourth proportional to 53,282.34, 73,528.51 and 29,082.50 is: 40,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,282.34 : 73,528.51 = 29,082.50 : x
  2. Step 2: Convert to fraction form
    53,282.34/73,528.51 = 29,082.50/x
  3. Step 3: Cross multiply
    53,282.34x = 73,528.51 × 29,082.50
  4. Step 4: Simplify right side
    53,282.34x = 2,138,393,003.19
  5. Step 5: Solve for x
    x = 2,138,393,003.19/53,282.34
  6. Step 6: Final answer
    x = 40,133.24

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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.