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Finding the Fourth Proportional to 75,335, 103,962.22 and 41,343.68

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Solution

The fourth proportional to 75,335, 103,962.22 and 41,343.68 is: 57,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335 : 103,962.22 = 41,343.68 : x
  2. Step 2: Convert to fraction form
    75,335/103,962.22 = 41,343.68/x
  3. Step 3: Cross multiply
    75,335x = 103,962.22 × 41,343.68
  4. Step 4: Simplify right side
    75,335x = 4,298,180,755.77
  5. Step 5: Solve for x
    x = 4,298,180,755.77/75,335
  6. Step 6: Final answer
    x = 57,054.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.