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Finding the Fourth Proportional to 53,006.76, 79,451.82 and 35,433

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Solution

The fourth proportional to 53,006.76, 79,451.82 and 35,433 is: 53,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.76 : 79,451.82 = 35,433 : x
  2. Step 2: Convert to fraction form
    53,006.76/79,451.82 = 35,433/x
  3. Step 3: Cross multiply
    53,006.76x = 79,451.82 × 35,433
  4. Step 4: Simplify right side
    53,006.76x = 2,815,216,338.06
  5. Step 5: Solve for x
    x = 2,815,216,338.06/53,006.76
  6. Step 6: Final answer
    x = 53,110.52

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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.