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Finding the Fourth Proportional to 34,470.47, 51,714.02 and 11,977.87

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Solution

The fourth proportional to 34,470.47, 51,714.02 and 11,977.87 is: 17,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,470.47 : 51,714.02 = 11,977.87 : x
  2. Step 2: Convert to fraction form
    34,470.47/51,714.02 = 11,977.87/x
  3. Step 3: Cross multiply
    34,470.47x = 51,714.02 × 11,977.87
  4. Step 4: Simplify right side
    34,470.47x = 619,423,808.74
  5. Step 5: Solve for x
    x = 619,423,808.74/34,470.47
  6. Step 6: Final answer
    x = 17,969.69

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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.