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Finding the Fourth Proportional to 107,633.76, 161,451 and 37,464

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Solution

The fourth proportional to 107,633.76, 161,451 and 37,464 is: 56,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,633.76 : 161,451 = 37,464 : x
  2. Step 2: Convert to fraction form
    107,633.76/161,451 = 37,464/x
  3. Step 3: Cross multiply
    107,633.76x = 161,451 × 37,464
  4. Step 4: Simplify right side
    107,633.76x = 6,048,600,264
  5. Step 5: Solve for x
    x = 6,048,600,264/107,633.76
  6. Step 6: Final answer
    x = 56,196.13

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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.