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Finding the Fourth Proportional to 53,712.64, 80,491.16 and 30,289.28

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Solution

The fourth proportional to 53,712.64, 80,491.16 and 30,289.28 is: 45,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712.64 : 80,491.16 = 30,289.28 : x
  2. Step 2: Convert to fraction form
    53,712.64/80,491.16 = 30,289.28/x
  3. Step 3: Cross multiply
    53,712.64x = 80,491.16 × 30,289.28
  4. Step 4: Simplify right side
    53,712.64x = 2,438,019,282.76
  5. Step 5: Solve for x
    x = 2,438,019,282.76/53,712.64
  6. Step 6: Final answer
    x = 45,390.05

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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.