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Finding the Fourth Proportional to 107,412.68, 161,114.16 and 37,297.46

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Solution

The fourth proportional to 107,412.68, 161,114.16 and 37,297.46 is: 55,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,412.68 : 161,114.16 = 37,297.46 : x
  2. Step 2: Convert to fraction form
    107,412.68/161,114.16 = 37,297.46/x
  3. Step 3: Cross multiply
    107,412.68x = 161,114.16 × 37,297.46
  4. Step 4: Simplify right side
    107,412.68x = 6,009,148,938.03
  5. Step 5: Solve for x
    x = 6,009,148,938.03/107,412.68
  6. Step 6: Final answer
    x = 55,944.50

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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.