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Finding the Fourth Proportional to 53,671.64, 80,509.28 and 14,232.74

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Solution

The fourth proportional to 53,671.64, 80,509.28 and 14,232.74 is: 21,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,671.64 : 80,509.28 = 14,232.74 : x
  2. Step 2: Convert to fraction form
    53,671.64/80,509.28 = 14,232.74/x
  3. Step 3: Cross multiply
    53,671.64x = 80,509.28 × 14,232.74
  4. Step 4: Simplify right side
    53,671.64x = 1,145,867,176.12
  5. Step 5: Solve for x
    x = 1,145,867,176.12/53,671.64
  6. Step 6: Final answer
    x = 21,349.59

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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.