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Finding the Fourth Proportional to 49,250, 73,875 and 12,314

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Solution

The fourth proportional to 49,250, 73,875 and 12,314 is: 18,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,250 : 73,875 = 12,314 : x
  2. Step 2: Convert to fraction form
    49,250/73,875 = 12,314/x
  3. Step 3: Cross multiply
    49,250x = 73,875 × 12,314
  4. Step 4: Simplify right side
    49,250x = 909,696,750
  5. Step 5: Solve for x
    x = 909,696,750/49,250
  6. Step 6: Final answer
    x = 18,471

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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.