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Finding the Fourth Proportional to 32,114.04, 44,329.68 and 21,499.80

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Solution

The fourth proportional to 32,114.04, 44,329.68 and 21,499.80 is: 29,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.04 : 44,329.68 = 21,499.80 : x
  2. Step 2: Convert to fraction form
    32,114.04/44,329.68 = 21,499.80/x
  3. Step 3: Cross multiply
    32,114.04x = 44,329.68 × 21,499.80
  4. Step 4: Simplify right side
    32,114.04x = 953,079,254.06
  5. Step 5: Solve for x
    x = 953,079,254.06/32,114.04
  6. Step 6: Final answer
    x = 29,677.96

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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.