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Finding the Fourth Proportional to 53,509.42, 80,264.92 and 25,432.34

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Solution

The fourth proportional to 53,509.42, 80,264.92 and 25,432.34 is: 38,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,509.42 : 80,264.92 = 25,432.34 : x
  2. Step 2: Convert to fraction form
    53,509.42/80,264.92 = 25,432.34/x
  3. Step 3: Cross multiply
    53,509.42x = 80,264.92 × 25,432.34
  4. Step 4: Simplify right side
    53,509.42x = 2,041,324,735.51
  5. Step 5: Solve for x
    x = 2,041,324,735.51/53,509.42
  6. Step 6: Final answer
    x = 38,148.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.