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Finding the Fourth Proportional to 47,756.68, 65,900.36 and 27,614.86

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Solution

The fourth proportional to 47,756.68, 65,900.36 and 27,614.86 is: 38,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,756.68 : 65,900.36 = 27,614.86 : x
  2. Step 2: Convert to fraction form
    47,756.68/65,900.36 = 27,614.86/x
  3. Step 3: Cross multiply
    47,756.68x = 65,900.36 × 27,614.86
  4. Step 4: Simplify right side
    47,756.68x = 1,819,829,215.35
  5. Step 5: Solve for x
    x = 1,819,829,215.35/47,756.68
  6. Step 6: Final answer
    x = 38,106.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.