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Finding the Fourth Proportional to 70,096.68, 105,104.63 and 47,936.91

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Solution

The fourth proportional to 70,096.68, 105,104.63 and 47,936.91 is: 71,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,096.68 : 105,104.63 = 47,936.91 : x
  2. Step 2: Convert to fraction form
    70,096.68/105,104.63 = 47,936.91/x
  3. Step 3: Cross multiply
    70,096.68x = 105,104.63 × 47,936.91
  4. Step 4: Simplify right side
    70,096.68x = 5,038,390,949.21
  5. Step 5: Solve for x
    x = 5,038,390,949.21/70,096.68
  6. Step 6: Final answer
    x = 71,877.74

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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.