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Finding the Fourth Proportional to 32,026.36, 48,038.50 and 14,496.21

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Solution

The fourth proportional to 32,026.36, 48,038.50 and 14,496.21 is: 21,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.36 : 48,038.50 = 14,496.21 : x
  2. Step 2: Convert to fraction form
    32,026.36/48,038.50 = 14,496.21/x
  3. Step 3: Cross multiply
    32,026.36x = 48,038.50 × 14,496.21
  4. Step 4: Simplify right side
    32,026.36x = 696,376,184.09
  5. Step 5: Solve for x
    x = 696,376,184.09/32,026.36
  6. Step 6: Final answer
    x = 21,743.84

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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.