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Finding the Fourth Proportional to 59,706.38, 82,393.71 and 40,842.86

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Solution

The fourth proportional to 59,706.38, 82,393.71 and 40,842.86 is: 56,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,706.38 : 82,393.71 = 40,842.86 : x
  2. Step 2: Convert to fraction form
    59,706.38/82,393.71 = 40,842.86/x
  3. Step 3: Cross multiply
    59,706.38x = 82,393.71 × 40,842.86
  4. Step 4: Simplify right side
    59,706.38x = 3,365,194,762.41
  5. Step 5: Solve for x
    x = 3,365,194,762.41/59,706.38
  6. Step 6: Final answer
    x = 56,362.40

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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.