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Finding the Fourth Proportional to 103,953.74, 155,934.50 and 47,016.81

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Solution

The fourth proportional to 103,953.74, 155,934.50 and 47,016.81 is: 70,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,953.74 : 155,934.50 = 47,016.81 : x
  2. Step 2: Convert to fraction form
    103,953.74/155,934.50 = 47,016.81/x
  3. Step 3: Cross multiply
    103,953.74x = 155,934.50 × 47,016.81
  4. Step 4: Simplify right side
    103,953.74x = 7,331,542,523.86
  5. Step 5: Solve for x
    x = 7,331,542,523.86/103,953.74
  6. Step 6: Final answer
    x = 70,526.98

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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.