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Finding the Fourth Proportional to 68,133.84, 102,072.18 and 34,875

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Solution

The fourth proportional to 68,133.84, 102,072.18 and 34,875 is: 52,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133.84 : 102,072.18 = 34,875 : x
  2. Step 2: Convert to fraction form
    68,133.84/102,072.18 = 34,875/x
  3. Step 3: Cross multiply
    68,133.84x = 102,072.18 × 34,875
  4. Step 4: Simplify right side
    68,133.84x = 3,559,767,277.50
  5. Step 5: Solve for x
    x = 3,559,767,277.50/68,133.84
  6. Step 6: Final answer
    x = 52,246.69

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Why These Related Problems?

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