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Finding the Fourth Proportional to 32,570.69, 44,911.87 and 21,219.14

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Solution

The fourth proportional to 32,570.69, 44,911.87 and 21,219.14 is: 29,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.69 : 44,911.87 = 21,219.14 : x
  2. Step 2: Convert to fraction form
    32,570.69/44,911.87 = 21,219.14/x
  3. Step 3: Cross multiply
    32,570.69x = 44,911.87 × 21,219.14
  4. Step 4: Simplify right side
    32,570.69x = 952,991,316.42
  5. Step 5: Solve for x
    x = 952,991,316.42/32,570.69
  6. Step 6: Final answer
    x = 29,259.17

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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.