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Finding the Fourth Proportional to 55,583.84, 76,698.57 and 31,709.12

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Solution

The fourth proportional to 55,583.84, 76,698.57 and 31,709.12 is: 43,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,583.84 : 76,698.57 = 31,709.12 : x
  2. Step 2: Convert to fraction form
    55,583.84/76,698.57 = 31,709.12/x
  3. Step 3: Cross multiply
    55,583.84x = 76,698.57 × 31,709.12
  4. Step 4: Simplify right side
    55,583.84x = 2,432,044,159.96
  5. Step 5: Solve for x
    x = 2,432,044,159.96/55,583.84
  6. Step 6: Final answer
    x = 43,754.52

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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.