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Finding the Fourth Proportional to 84,052.84, 126,097.71 and 24,893.14

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Solution

The fourth proportional to 84,052.84, 126,097.71 and 24,893.14 is: 37,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,052.84 : 126,097.71 = 24,893.14 : x
  2. Step 2: Convert to fraction form
    84,052.84/126,097.71 = 24,893.14/x
  3. Step 3: Cross multiply
    84,052.84x = 126,097.71 × 24,893.14
  4. Step 4: Simplify right side
    84,052.84x = 3,138,967,948.71
  5. Step 5: Solve for x
    x = 3,138,967,948.71/84,052.84
  6. Step 6: Final answer
    x = 37,345.17

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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.