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Finding the Fourth Proportional to 107,491.28, 161,301.72 and 37,419.80

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Solution

The fourth proportional to 107,491.28, 161,301.72 and 37,419.80 is: 56,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,491.28 : 161,301.72 = 37,419.80 : x
  2. Step 2: Convert to fraction form
    107,491.28/161,301.72 = 37,419.80/x
  3. Step 3: Cross multiply
    107,491.28x = 161,301.72 × 37,419.80
  4. Step 4: Simplify right side
    107,491.28x = 6,035,878,102.06
  5. Step 5: Solve for x
    x = 6,035,878,102.06/107,491.28
  6. Step 6: Final answer
    x = 56,152.26

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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.