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Finding the Fourth Proportional to 82,097.24, 113,294.03 and 46,287.01

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Solution

The fourth proportional to 82,097.24, 113,294.03 and 46,287.01 is: 63,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,097.24 : 113,294.03 = 46,287.01 : x
  2. Step 2: Convert to fraction form
    82,097.24/113,294.03 = 46,287.01/x
  3. Step 3: Cross multiply
    82,097.24x = 113,294.03 × 46,287.01
  4. Step 4: Simplify right side
    82,097.24x = 5,244,041,384.88
  5. Step 5: Solve for x
    x = 5,244,041,384.88/82,097.24
  6. Step 6: Final answer
    x = 63,875.97

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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.