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Finding the Fourth Proportional to 42,216.82, 63,347.05 and 18,541

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Solution

The fourth proportional to 42,216.82, 63,347.05 and 18,541 is: 27,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216.82 : 63,347.05 = 18,541 : x
  2. Step 2: Convert to fraction form
    42,216.82/63,347.05 = 18,541/x
  3. Step 3: Cross multiply
    42,216.82x = 63,347.05 × 18,541
  4. Step 4: Simplify right side
    42,216.82x = 1,174,517,561.35
  5. Step 5: Solve for x
    x = 1,174,517,561.35/42,216.82
  6. Step 6: Final answer
    x = 27,821.08

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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.