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Finding the Fourth Proportional to 42,744.84, 64,123.32 and 13,165.08

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Solution

The fourth proportional to 42,744.84, 64,123.32 and 13,165.08 is: 19,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744.84 : 64,123.32 = 13,165.08 : x
  2. Step 2: Convert to fraction form
    42,744.84/64,123.32 = 13,165.08/x
  3. Step 3: Cross multiply
    42,744.84x = 64,123.32 × 13,165.08
  4. Step 4: Simplify right side
    42,744.84x = 844,188,637.67
  5. Step 5: Solve for x
    x = 844,188,637.67/42,744.84
  6. Step 6: Final answer
    x = 19,749.49

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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.