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Finding the Fourth Proportional to 38,696.13, 58,046.90 and 15,322.50

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Solution

The fourth proportional to 38,696.13, 58,046.90 and 15,322.50 is: 22,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.13 : 58,046.90 = 15,322.50 : x
  2. Step 2: Convert to fraction form
    38,696.13/58,046.90 = 15,322.50/x
  3. Step 3: Cross multiply
    38,696.13x = 58,046.90 × 15,322.50
  4. Step 4: Simplify right side
    38,696.13x = 889,423,548.64
  5. Step 5: Solve for x
    x = 889,423,548.64/38,696.13
  6. Step 6: Final answer
    x = 22,984.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.