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Finding the Fourth Proportional to 35,329.92, 48,741.32 and 22,762

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Solution

The fourth proportional to 35,329.92, 48,741.32 and 22,762 is: 31,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,329.92 : 48,741.32 = 22,762 : x
  2. Step 2: Convert to fraction form
    35,329.92/48,741.32 = 22,762/x
  3. Step 3: Cross multiply
    35,329.92x = 48,741.32 × 22,762
  4. Step 4: Simplify right side
    35,329.92x = 1,109,449,925.84
  5. Step 5: Solve for x
    x = 1,109,449,925.84/35,329.92
  6. Step 6: Final answer
    x = 31,402.56

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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.