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Finding the Fourth Proportional to 42,728.96, 64,069.94 and 13,138.58

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Solution

The fourth proportional to 42,728.96, 64,069.94 and 13,138.58 is: 19,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728.96 : 64,069.94 = 13,138.58 : x
  2. Step 2: Convert to fraction form
    42,728.96/64,069.94 = 13,138.58/x
  3. Step 3: Cross multiply
    42,728.96x = 64,069.94 × 13,138.58
  4. Step 4: Simplify right side
    42,728.96x = 841,787,744.78
  5. Step 5: Solve for x
    x = 841,787,744.78/42,728.96
  6. Step 6: Final answer
    x = 19,700.64

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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.