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Finding the Fourth Proportional to 32,802, 45,266.76 and 17,898

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Solution

The fourth proportional to 32,802, 45,266.76 and 17,898 is: 24,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802 : 45,266.76 = 17,898 : x
  2. Step 2: Convert to fraction form
    32,802/45,266.76 = 17,898/x
  3. Step 3: Cross multiply
    32,802x = 45,266.76 × 17,898
  4. Step 4: Simplify right side
    32,802x = 810,184,470.48
  5. Step 5: Solve for x
    x = 810,184,470.48/32,802
  6. Step 6: Final answer
    x = 24,699.24

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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.