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Finding the Fourth Proportional to 107,602.94, 161,403.10 and 48,396.80

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Solution

The fourth proportional to 107,602.94, 161,403.10 and 48,396.80 is: 72,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,602.94 : 161,403.10 = 48,396.80 : x
  2. Step 2: Convert to fraction form
    107,602.94/161,403.10 = 48,396.80/x
  3. Step 3: Cross multiply
    107,602.94x = 161,403.10 × 48,396.80
  4. Step 4: Simplify right side
    107,602.94x = 7,811,393,832.60
  5. Step 5: Solve for x
    x = 7,811,393,832.60/107,602.94
  6. Step 6: Final answer
    x = 72,594.61

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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.