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Finding the Fourth Proportional to 53,652, 74,039.76 and 29,782.53

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Solution

The fourth proportional to 53,652, 74,039.76 and 29,782.53 is: 41,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,652 : 74,039.76 = 29,782.53 : x
  2. Step 2: Convert to fraction form
    53,652/74,039.76 = 29,782.53/x
  3. Step 3: Cross multiply
    53,652x = 74,039.76 × 29,782.53
  4. Step 4: Simplify right side
    53,652x = 2,205,091,373.39
  5. Step 5: Solve for x
    x = 2,205,091,373.39/53,652
  6. Step 6: Final answer
    x = 41,099.89

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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.