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Finding the Fourth Proportional to 35,901, 53,853.66 and 11,277

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Solution

The fourth proportional to 35,901, 53,853.66 and 11,277 is: 16,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,901 : 53,853.66 = 11,277 : x
  2. Step 2: Convert to fraction form
    35,901/53,853.66 = 11,277/x
  3. Step 3: Cross multiply
    35,901x = 53,853.66 × 11,277
  4. Step 4: Simplify right side
    35,901x = 607,307,723.82
  5. Step 5: Solve for x
    x = 607,307,723.82/35,901
  6. Step 6: Final answer
    x = 16,916.18

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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.