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Finding the Fourth Proportional to 107,889.92, 161,776.16 and 48,656.16

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Solution

The fourth proportional to 107,889.92, 161,776.16 and 48,656.16 is: 72,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,889.92 : 161,776.16 = 48,656.16 : x
  2. Step 2: Convert to fraction form
    107,889.92/161,776.16 = 48,656.16/x
  3. Step 3: Cross multiply
    107,889.92x = 161,776.16 × 48,656.16
  4. Step 4: Simplify right side
    107,889.92x = 7,871,406,725.15
  5. Step 5: Solve for x
    x = 7,871,406,725.15/107,889.92
  6. Step 6: Final answer
    x = 72,957.76

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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.