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Finding the Fourth Proportional to 59,722.92, 82,317.06 and 40,827.24

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Solution

The fourth proportional to 59,722.92, 82,317.06 and 40,827.24 is: 56,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,722.92 : 82,317.06 = 40,827.24 : x
  2. Step 2: Convert to fraction form
    59,722.92/82,317.06 = 40,827.24/x
  3. Step 3: Cross multiply
    59,722.92x = 82,317.06 × 40,827.24
  4. Step 4: Simplify right side
    59,722.92x = 3,360,778,364.71
  5. Step 5: Solve for x
    x = 3,360,778,364.71/59,722.92
  6. Step 6: Final answer
    x = 56,272.84

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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.