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Finding the Fourth Proportional to 51,857.94, 77,721.30 and 33,130.74

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Solution

The fourth proportional to 51,857.94, 77,721.30 and 33,130.74 is: 49,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,857.94 : 77,721.30 = 33,130.74 : x
  2. Step 2: Convert to fraction form
    51,857.94/77,721.30 = 33,130.74/x
  3. Step 3: Cross multiply
    51,857.94x = 77,721.30 × 33,130.74
  4. Step 4: Simplify right side
    51,857.94x = 2,574,964,182.76
  5. Step 5: Solve for x
    x = 2,574,964,182.76/51,857.94
  6. Step 6: Final answer
    x = 49,654.19

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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.