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Finding the Fourth Proportional to 107,937.60, 161,857.80 and 48,742.80

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Solution

The fourth proportional to 107,937.60, 161,857.80 and 48,742.80 is: 73,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,937.60 : 161,857.80 = 48,742.80 : x
  2. Step 2: Convert to fraction form
    107,937.60/161,857.80 = 48,742.80/x
  3. Step 3: Cross multiply
    107,937.60x = 161,857.80 × 48,742.80
  4. Step 4: Simplify right side
    107,937.60x = 7,889,402,373.84
  5. Step 5: Solve for x
    x = 7,889,402,373.84/107,937.60
  6. Step 6: Final answer
    x = 73,092.25

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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.