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Finding the Fourth Proportional to 42,536, 58,699.68 and 23,674.34

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Solution

The fourth proportional to 42,536, 58,699.68 and 23,674.34 is: 32,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,536 : 58,699.68 = 23,674.34 : x
  2. Step 2: Convert to fraction form
    42,536/58,699.68 = 23,674.34/x
  3. Step 3: Cross multiply
    42,536x = 58,699.68 × 23,674.34
  4. Step 4: Simplify right side
    42,536x = 1,389,676,182.21
  5. Step 5: Solve for x
    x = 1,389,676,182.21/42,536
  6. Step 6: Final answer
    x = 32,670.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.