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Finding the Fourth Proportional to 42,967.17, 64,278.45 and 35,586

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Solution

The fourth proportional to 42,967.17, 64,278.45 and 35,586 is: 53,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,967.17 : 64,278.45 = 35,586 : x
  2. Step 2: Convert to fraction form
    42,967.17/64,278.45 = 35,586/x
  3. Step 3: Cross multiply
    42,967.17x = 64,278.45 × 35,586
  4. Step 4: Simplify right side
    42,967.17x = 2,287,412,921.70
  5. Step 5: Solve for x
    x = 2,287,412,921.70/42,967.17
  6. Step 6: Final answer
    x = 53,236.29

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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.