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Finding the Fourth Proportional to 51,957.66, 77,936.51 and 12,514.76

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Solution

The fourth proportional to 51,957.66, 77,936.51 and 12,514.76 is: 18,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957.66 : 77,936.51 = 12,514.76 : x
  2. Step 2: Convert to fraction form
    51,957.66/77,936.51 = 12,514.76/x
  3. Step 3: Cross multiply
    51,957.66x = 77,936.51 × 12,514.76
  4. Step 4: Simplify right side
    51,957.66x = 975,356,265.63
  5. Step 5: Solve for x
    x = 975,356,265.63/51,957.66
  6. Step 6: Final answer
    x = 18,772.14

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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.