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Finding the Fourth Proportional to 49,382.40, 74,097.84 and 23,083.28

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Solution

The fourth proportional to 49,382.40, 74,097.84 and 23,083.28 is: 34,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.40 : 74,097.84 = 23,083.28 : x
  2. Step 2: Convert to fraction form
    49,382.40/74,097.84 = 23,083.28/x
  3. Step 3: Cross multiply
    49,382.40x = 74,097.84 × 23,083.28
  4. Step 4: Simplify right side
    49,382.40x = 1,710,421,188.12
  5. Step 5: Solve for x
    x = 1,710,421,188.12/49,382.40
  6. Step 6: Final answer
    x = 34,636.25

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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.