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Finding the Fourth Proportional to 107,646.64, 161,468.28 and 48,440.50

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Solution

The fourth proportional to 107,646.64, 161,468.28 and 48,440.50 is: 72,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,646.64 : 161,468.28 = 48,440.50 : x
  2. Step 2: Convert to fraction form
    107,646.64/161,468.28 = 48,440.50/x
  3. Step 3: Cross multiply
    107,646.64x = 161,468.28 × 48,440.50
  4. Step 4: Simplify right side
    107,646.64x = 7,821,604,217.34
  5. Step 5: Solve for x
    x = 7,821,604,217.34/107,646.64
  6. Step 6: Final answer
    x = 72,659.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.