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Finding the Fourth Proportional to 55,782.84, 76,981.26 and 30,634.68

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Solution

The fourth proportional to 55,782.84, 76,981.26 and 30,634.68 is: 42,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782.84 : 76,981.26 = 30,634.68 : x
  2. Step 2: Convert to fraction form
    55,782.84/76,981.26 = 30,634.68/x
  3. Step 3: Cross multiply
    55,782.84x = 76,981.26 × 30,634.68
  4. Step 4: Simplify right side
    55,782.84x = 2,358,296,266.10
  5. Step 5: Solve for x
    x = 2,358,296,266.10/55,782.84
  6. Step 6: Final answer
    x = 42,276.38

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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.