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Finding the Fourth Proportional to 32,905.77, 45,409.90 and 17,798.38

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Solution

The fourth proportional to 32,905.77, 45,409.90 and 17,798.38 is: 24,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.77 : 45,409.90 = 17,798.38 : x
  2. Step 2: Convert to fraction form
    32,905.77/45,409.90 = 17,798.38/x
  3. Step 3: Cross multiply
    32,905.77x = 45,409.90 × 17,798.38
  4. Step 4: Simplify right side
    32,905.77x = 808,222,339.92
  5. Step 5: Solve for x
    x = 808,222,339.92/32,905.77
  6. Step 6: Final answer
    x = 24,561.72

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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.