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Finding the Fourth Proportional to 82,487.76, 113,833.20 and 44,762.01

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Solution

The fourth proportional to 82,487.76, 113,833.20 and 44,762.01 is: 61,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,487.76 : 113,833.20 = 44,762.01 : x
  2. Step 2: Convert to fraction form
    82,487.76/113,833.20 = 44,762.01/x
  3. Step 3: Cross multiply
    82,487.76x = 113,833.20 × 44,762.01
  4. Step 4: Simplify right side
    82,487.76x = 5,095,402,836.73
  5. Step 5: Solve for x
    x = 5,095,402,836.73/82,487.76
  6. Step 6: Final answer
    x = 61,771.62

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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.