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Finding the Fourth Proportional to 49,126.35, 73,689.31 and 14,066

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Solution

The fourth proportional to 49,126.35, 73,689.31 and 14,066 is: 21,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,126.35 : 73,689.31 = 14,066 : x
  2. Step 2: Convert to fraction form
    49,126.35/73,689.31 = 14,066/x
  3. Step 3: Cross multiply
    49,126.35x = 73,689.31 × 14,066
  4. Step 4: Simplify right side
    49,126.35x = 1,036,513,834.46
  5. Step 5: Solve for x
    x = 1,036,513,834.46/49,126.35
  6. Step 6: Final answer
    x = 21,098.94

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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.