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Finding the Fourth Proportional to 77,136.19, 106,457.81 and 43,146.57

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Solution

The fourth proportional to 77,136.19, 106,457.81 and 43,146.57 is: 59,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.19 : 106,457.81 = 43,146.57 : x
  2. Step 2: Convert to fraction form
    77,136.19/106,457.81 = 43,146.57/x
  3. Step 3: Cross multiply
    77,136.19x = 106,457.81 × 43,146.57
  4. Step 4: Simplify right side
    77,136.19x = 4,593,289,351.21
  5. Step 5: Solve for x
    x = 4,593,289,351.21/77,136.19
  6. Step 6: Final answer
    x = 59,547.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.