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Finding the Fourth Proportional to 32,095.66, 44,298.14 and 21,503.76

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Solution

The fourth proportional to 32,095.66, 44,298.14 and 21,503.76 is: 29,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.66 : 44,298.14 = 21,503.76 : x
  2. Step 2: Convert to fraction form
    32,095.66/44,298.14 = 21,503.76/x
  3. Step 3: Cross multiply
    32,095.66x = 44,298.14 × 21,503.76
  4. Step 4: Simplify right side
    32,095.66x = 952,576,571.01
  5. Step 5: Solve for x
    x = 952,576,571.01/32,095.66
  6. Step 6: Final answer
    x = 29,679.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.