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Finding the Fourth Proportional to 107,527.43, 161,323.95 and 54,973.82

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Solution

The fourth proportional to 107,527.43, 161,323.95 and 54,973.82 is: 82,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,527.43 : 161,323.95 = 54,973.82 : x
  2. Step 2: Convert to fraction form
    107,527.43/161,323.95 = 54,973.82/x
  3. Step 3: Cross multiply
    107,527.43x = 161,323.95 × 54,973.82
  4. Step 4: Simplify right side
    107,527.43x = 8,868,593,181.78
  5. Step 5: Solve for x
    x = 8,868,593,181.78/107,527.43
  6. Step 6: Final answer
    x = 82,477.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.