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Finding the Fourth Proportional to 58,836.02, 81,194.19 and 31,978.54

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Solution

The fourth proportional to 58,836.02, 81,194.19 and 31,978.54 is: 44,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,836.02 : 81,194.19 = 31,978.54 : x
  2. Step 2: Convert to fraction form
    58,836.02/81,194.19 = 31,978.54/x
  3. Step 3: Cross multiply
    58,836.02x = 81,194.19 × 31,978.54
  4. Step 4: Simplify right side
    58,836.02x = 2,596,471,246.71
  5. Step 5: Solve for x
    x = 2,596,471,246.71/58,836.02
  6. Step 6: Final answer
    x = 44,130.64

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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.