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Finding the Fourth Proportional to 42,735.40, 64,089.42 and 14,266.24

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Solution

The fourth proportional to 42,735.40, 64,089.42 and 14,266.24 is: 21,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735.40 : 64,089.42 = 14,266.24 : x
  2. Step 2: Convert to fraction form
    42,735.40/64,089.42 = 14,266.24/x
  3. Step 3: Cross multiply
    42,735.40x = 64,089.42 × 14,266.24
  4. Step 4: Simplify right side
    42,735.40x = 914,315,047.18
  5. Step 5: Solve for x
    x = 914,315,047.18/42,735.40
  6. Step 6: Final answer
    x = 21,394.79

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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.