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Finding the Fourth Proportional to 109,102.93, 163,544.76 and 45,938.47

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Solution

The fourth proportional to 109,102.93, 163,544.76 and 45,938.47 is: 68,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,102.93 : 163,544.76 = 45,938.47 : x
  2. Step 2: Convert to fraction form
    109,102.93/163,544.76 = 45,938.47/x
  3. Step 3: Cross multiply
    109,102.93x = 163,544.76 × 45,938.47
  4. Step 4: Simplify right side
    109,102.93x = 7,512,996,050.92
  5. Step 5: Solve for x
    x = 7,512,996,050.92/109,102.93
  6. Step 6: Final answer
    x = 68,861.54

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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.