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Finding the Fourth Proportional to 32,673, 45,088.74 and 17,769

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Solution

The fourth proportional to 32,673, 45,088.74 and 17,769 is: 24,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673 : 45,088.74 = 17,769 : x
  2. Step 2: Convert to fraction form
    32,673/45,088.74 = 17,769/x
  3. Step 3: Cross multiply
    32,673x = 45,088.74 × 17,769
  4. Step 4: Simplify right side
    32,673x = 801,181,821.06
  5. Step 5: Solve for x
    x = 801,181,821.06/32,673
  6. Step 6: Final answer
    x = 24,521.22

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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.