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Finding the Fourth Proportional to 35,182.64, 52,773.52 and 14,132

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Solution

The fourth proportional to 35,182.64, 52,773.52 and 14,132 is: 21,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,182.64 : 52,773.52 = 14,132 : x
  2. Step 2: Convert to fraction form
    35,182.64/52,773.52 = 14,132/x
  3. Step 3: Cross multiply
    35,182.64x = 52,773.52 × 14,132
  4. Step 4: Simplify right side
    35,182.64x = 745,795,384.64
  5. Step 5: Solve for x
    x = 745,795,384.64/35,182.64
  6. Step 6: Final answer
    x = 21,197.82

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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.