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Finding the Fourth Proportional to 49,076, 73,614 and 12,140

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Solution

The fourth proportional to 49,076, 73,614 and 12,140 is: 18,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076 : 73,614 = 12,140 : x
  2. Step 2: Convert to fraction form
    49,076/73,614 = 12,140/x
  3. Step 3: Cross multiply
    49,076x = 73,614 × 12,140
  4. Step 4: Simplify right side
    49,076x = 893,673,960
  5. Step 5: Solve for x
    x = 893,673,960/49,076
  6. Step 6: Final answer
    x = 18,210

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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.