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Finding the Fourth Proportional to 35,887.84, 53,838.96 and 12,508

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Solution

The fourth proportional to 35,887.84, 53,838.96 and 12,508 is: 18,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,887.84 : 53,838.96 = 12,508 : x
  2. Step 2: Convert to fraction form
    35,887.84/53,838.96 = 12,508/x
  3. Step 3: Cross multiply
    35,887.84x = 53,838.96 × 12,508
  4. Step 4: Simplify right side
    35,887.84x = 673,417,711.68
  5. Step 5: Solve for x
    x = 673,417,711.68/35,887.84
  6. Step 6: Final answer
    x = 18,764.51

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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.