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Finding the Fourth Proportional to 42,993.84, 64,505.88 and 13,419.12

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Solution

The fourth proportional to 42,993.84, 64,505.88 and 13,419.12 is: 20,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,993.84 : 64,505.88 = 13,419.12 : x
  2. Step 2: Convert to fraction form
    42,993.84/64,505.88 = 13,419.12/x
  3. Step 3: Cross multiply
    42,993.84x = 64,505.88 × 13,419.12
  4. Step 4: Simplify right side
    42,993.84x = 865,612,144.43
  5. Step 5: Solve for x
    x = 865,612,144.43/42,993.84
  6. Step 6: Final answer
    x = 20,133.40

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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.