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Finding the Fourth Proportional to 53,235.76, 73,465.74 and 29,361.82

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Solution

The fourth proportional to 53,235.76, 73,465.74 and 29,361.82 is: 40,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,235.76 : 73,465.74 = 29,361.82 : x
  2. Step 2: Convert to fraction form
    53,235.76/73,465.74 = 29,361.82/x
  3. Step 3: Cross multiply
    53,235.76x = 73,465.74 × 29,361.82
  4. Step 4: Simplify right side
    53,235.76x = 2,157,087,834.05
  5. Step 5: Solve for x
    x = 2,157,087,834.05/53,235.76
  6. Step 6: Final answer
    x = 40,519.53

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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.