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Finding the Fourth Proportional to 47,303.46, 65,256.03 and 29,419.47

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Solution

The fourth proportional to 47,303.46, 65,256.03 and 29,419.47 is: 40,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,303.46 : 65,256.03 = 29,419.47 : x
  2. Step 2: Convert to fraction form
    47,303.46/65,256.03 = 29,419.47/x
  3. Step 3: Cross multiply
    47,303.46x = 65,256.03 × 29,419.47
  4. Step 4: Simplify right side
    47,303.46x = 1,919,797,816.90
  5. Step 5: Solve for x
    x = 1,919,797,816.90/47,303.46
  6. Step 6: Final answer
    x = 40,584.72

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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.