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Finding the Fourth Proportional to 107,778.51, 161,668.04 and 37,657.80

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Solution

The fourth proportional to 107,778.51, 161,668.04 and 37,657.80 is: 56,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,778.51 : 161,668.04 = 37,657.80 : x
  2. Step 2: Convert to fraction form
    107,778.51/161,668.04 = 37,657.80/x
  3. Step 3: Cross multiply
    107,778.51x = 161,668.04 × 37,657.80
  4. Step 4: Simplify right side
    107,778.51x = 6,088,062,528.42
  5. Step 5: Solve for x
    x = 6,088,062,528.42/107,778.51
  6. Step 6: Final answer
    x = 56,486.79

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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.