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Finding the Fourth Proportional to 35,680, 53,523.04 and 11,056

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Solution

The fourth proportional to 35,680, 53,523.04 and 11,056 is: 16,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680 : 53,523.04 = 11,056 : x
  2. Step 2: Convert to fraction form
    35,680/53,523.04 = 11,056/x
  3. Step 3: Cross multiply
    35,680x = 53,523.04 × 11,056
  4. Step 4: Simplify right side
    35,680x = 591,750,730.24
  5. Step 5: Solve for x
    x = 591,750,730.24/35,680
  6. Step 6: Final answer
    x = 16,584.94

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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.