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Finding the Fourth Proportional to 107,838.60, 161,714.70 and 37,681.80

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Solution

The fourth proportional to 107,838.60, 161,714.70 and 37,681.80 is: 56,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838.60 : 161,714.70 = 37,681.80 : x
  2. Step 2: Convert to fraction form
    107,838.60/161,714.70 = 37,681.80/x
  3. Step 3: Cross multiply
    107,838.60x = 161,714.70 × 37,681.80
  4. Step 4: Simplify right side
    107,838.60x = 6,093,700,982.46
  5. Step 5: Solve for x
    x = 6,093,700,982.46/107,838.60
  6. Step 6: Final answer
    x = 56,507.60

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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.