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Finding the Fourth Proportional to 32,969.30, 45,497.49 and 17,861.93

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Solution

The fourth proportional to 32,969.30, 45,497.49 and 17,861.93 is: 24,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.30 : 45,497.49 = 17,861.93 : x
  2. Step 2: Convert to fraction form
    32,969.30/45,497.49 = 17,861.93/x
  3. Step 3: Cross multiply
    32,969.30x = 45,497.49 × 17,861.93
  4. Step 4: Simplify right side
    32,969.30x = 812,672,754.07
  5. Step 5: Solve for x
    x = 812,672,754.07/32,969.30
  6. Step 6: Final answer
    x = 24,649.38

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Why These Related Problems?

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