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Finding the Fourth Proportional to 52,683.65, 78,955.76 and 27,672.57

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Solution

The fourth proportional to 52,683.65, 78,955.76 and 27,672.57 is: 41,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,683.65 : 78,955.76 = 27,672.57 : x
  2. Step 2: Convert to fraction form
    52,683.65/78,955.76 = 27,672.57/x
  3. Step 3: Cross multiply
    52,683.65x = 78,955.76 × 27,672.57
  4. Step 4: Simplify right side
    52,683.65x = 2,184,908,864.68
  5. Step 5: Solve for x
    x = 2,184,908,864.68/52,683.65
  6. Step 6: Final answer
    x = 41,472.24

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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.