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Finding the Fourth Proportional to 30,724.13, 46,088.75 and 8,238.01

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Solution

The fourth proportional to 30,724.13, 46,088.75 and 8,238.01 is: 12,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.13 : 46,088.75 = 8,238.01 : x
  2. Step 2: Convert to fraction form
    30,724.13/46,088.75 = 8,238.01/x
  3. Step 3: Cross multiply
    30,724.13x = 46,088.75 × 8,238.01
  4. Step 4: Simplify right side
    30,724.13x = 379,679,583.39
  5. Step 5: Solve for x
    x = 379,679,583.39/30,724.13
  6. Step 6: Final answer
    x = 12,357.70

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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.