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Finding the Fourth Proportional to 32,020.49, 48,029.71 and 14,490.32

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Solution

The fourth proportional to 32,020.49, 48,029.71 and 14,490.32 is: 21,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.49 : 48,029.71 = 14,490.32 : x
  2. Step 2: Convert to fraction form
    32,020.49/48,029.71 = 14,490.32/x
  3. Step 3: Cross multiply
    32,020.49x = 48,029.71 × 14,490.32
  4. Step 4: Simplify right side
    32,020.49x = 695,965,753.29
  5. Step 5: Solve for x
    x = 695,965,753.29/32,020.49
  6. Step 6: Final answer
    x = 21,735.01

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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.