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Finding the Fourth Proportional to 46,524, 64,175.76 and 27,660

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Solution

The fourth proportional to 46,524, 64,175.76 and 27,660 is: 38,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,524 : 64,175.76 = 27,660 : x
  2. Step 2: Convert to fraction form
    46,524/64,175.76 = 27,660/x
  3. Step 3: Cross multiply
    46,524x = 64,175.76 × 27,660
  4. Step 4: Simplify right side
    46,524x = 1,775,101,521.60
  5. Step 5: Solve for x
    x = 1,775,101,521.60/46,524
  6. Step 6: Final answer
    x = 38,154.53

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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.