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Finding the Fourth Proportional to 103,434.91, 155,026.95 and 47,197.96

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Solution

The fourth proportional to 103,434.91, 155,026.95 and 47,197.96 is: 70,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,434.91 : 155,026.95 = 47,197.96 : x
  2. Step 2: Convert to fraction form
    103,434.91/155,026.95 = 47,197.96/x
  3. Step 3: Cross multiply
    103,434.91x = 155,026.95 × 47,197.96
  4. Step 4: Simplify right side
    103,434.91x = 7,316,955,785.02
  5. Step 5: Solve for x
    x = 7,316,955,785.02/103,434.91
  6. Step 6: Final answer
    x = 70,739.71

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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.