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Finding the Fourth Proportional to 107,094.75, 147,796.65 and 59,347.05

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Solution

The fourth proportional to 107,094.75, 147,796.65 and 59,347.05 is: 81,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,094.75 : 147,796.65 = 59,347.05 : x
  2. Step 2: Convert to fraction form
    107,094.75/147,796.65 = 59,347.05/x
  3. Step 3: Cross multiply
    107,094.75x = 147,796.65 × 59,347.05
  4. Step 4: Simplify right side
    107,094.75x = 8,771,295,177.38
  5. Step 5: Solve for x
    x = 8,771,295,177.38/107,094.75
  6. Step 6: Final answer
    x = 81,902.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.