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Finding the Fourth Proportional to 42,021, 63,032.72 and 10,856.25

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Solution

The fourth proportional to 42,021, 63,032.72 and 10,856.25 is: 16,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,021 : 63,032.72 = 10,856.25 : x
  2. Step 2: Convert to fraction form
    42,021/63,032.72 = 10,856.25/x
  3. Step 3: Cross multiply
    42,021x = 63,032.72 × 10,856.25
  4. Step 4: Simplify right side
    42,021x = 684,298,912.22
  5. Step 5: Solve for x
    x = 684,298,912.22/42,021
  6. Step 6: Final answer
    x = 16,284.69

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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.