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Finding the Fourth Proportional to 42,322.29, 58,401.54 and 23,199

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Solution

The fourth proportional to 42,322.29, 58,401.54 and 23,199 is: 32,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.29 : 58,401.54 = 23,199 : x
  2. Step 2: Convert to fraction form
    42,322.29/58,401.54 = 23,199/x
  3. Step 3: Cross multiply
    42,322.29x = 58,401.54 × 23,199
  4. Step 4: Simplify right side
    42,322.29x = 1,354,857,326.46
  5. Step 5: Solve for x
    x = 1,354,857,326.46/42,322.29
  6. Step 6: Final answer
    x = 32,012.85

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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.