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Finding the Fourth Proportional to 42,770.34, 64,139.04 and 14,685.12

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Solution

The fourth proportional to 42,770.34, 64,139.04 and 14,685.12 is: 22,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.34 : 64,139.04 = 14,685.12 : x
  2. Step 2: Convert to fraction form
    42,770.34/64,139.04 = 14,685.12/x
  3. Step 3: Cross multiply
    42,770.34x = 64,139.04 × 14,685.12
  4. Step 4: Simplify right side
    42,770.34x = 941,889,499.08
  5. Step 5: Solve for x
    x = 941,889,499.08/42,770.34
  6. Step 6: Final answer
    x = 22,022.03

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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.