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Finding the Fourth Proportional to 71,904.83, 107,857.50 and 21,984.74

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Solution

The fourth proportional to 71,904.83, 107,857.50 and 21,984.74 is: 32,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,904.83 : 107,857.50 = 21,984.74 : x
  2. Step 2: Convert to fraction form
    71,904.83/107,857.50 = 21,984.74/x
  3. Step 3: Cross multiply
    71,904.83x = 107,857.50 × 21,984.74
  4. Step 4: Simplify right side
    71,904.83x = 2,371,219,094.55
  5. Step 5: Solve for x
    x = 2,371,219,094.55/71,904.83
  6. Step 6: Final answer
    x = 32,977.19

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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.