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Finding the Fourth Proportional to 107,907.70, 161,823.15 and 48,771.70

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Solution

The fourth proportional to 107,907.70, 161,823.15 and 48,771.70 is: 73,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,907.70 : 161,823.15 = 48,771.70 : x
  2. Step 2: Convert to fraction form
    107,907.70/161,823.15 = 48,771.70/x
  3. Step 3: Cross multiply
    107,907.70x = 161,823.15 × 48,771.70
  4. Step 4: Simplify right side
    107,907.70x = 7,892,390,124.86
  5. Step 5: Solve for x
    x = 7,892,390,124.86/107,907.70
  6. Step 6: Final answer
    x = 73,140.19

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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.