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Finding the Fourth Proportional to 107,716.96, 161,502.54 and 37,558

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Solution

The fourth proportional to 107,716.96, 161,502.54 and 37,558 is: 56,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716.96 : 161,502.54 = 37,558 : x
  2. Step 2: Convert to fraction form
    107,716.96/161,502.54 = 37,558/x
  3. Step 3: Cross multiply
    107,716.96x = 161,502.54 × 37,558
  4. Step 4: Simplify right side
    107,716.96x = 6,065,712,397.32
  5. Step 5: Solve for x
    x = 6,065,712,397.32/107,716.96
  6. Step 6: Final answer
    x = 56,311.58

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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.