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Finding the Fourth Proportional to 59,683.82, 82,363.64 and 32,828.13

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Solution

The fourth proportional to 59,683.82, 82,363.64 and 32,828.13 is: 45,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,683.82 : 82,363.64 = 32,828.13 : x
  2. Step 2: Convert to fraction form
    59,683.82/82,363.64 = 32,828.13/x
  3. Step 3: Cross multiply
    59,683.82x = 82,363.64 × 32,828.13
  4. Step 4: Simplify right side
    59,683.82x = 2,703,844,117.05
  5. Step 5: Solve for x
    x = 2,703,844,117.05/59,683.82
  6. Step 6: Final answer
    x = 45,302.80

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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.