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Finding the Fourth Proportional to 42,943.88, 64,402.86 and 25,409

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Solution

The fourth proportional to 42,943.88, 64,402.86 and 25,409 is: 38,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,943.88 : 64,402.86 = 25,409 : x
  2. Step 2: Convert to fraction form
    42,943.88/64,402.86 = 25,409/x
  3. Step 3: Cross multiply
    42,943.88x = 64,402.86 × 25,409
  4. Step 4: Simplify right side
    42,943.88x = 1,636,412,269.74
  5. Step 5: Solve for x
    x = 1,636,412,269.74/42,943.88
  6. Step 6: Final answer
    x = 38,105.83

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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.