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Finding the Fourth Proportional to 82,718.54, 114,120.65 and 48,706.23

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Solution

The fourth proportional to 82,718.54, 114,120.65 and 48,706.23 is: 67,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.54 : 114,120.65 = 48,706.23 : x
  2. Step 2: Convert to fraction form
    82,718.54/114,120.65 = 48,706.23/x
  3. Step 3: Cross multiply
    82,718.54x = 114,120.65 × 48,706.23
  4. Step 4: Simplify right side
    82,718.54x = 5,558,386,748.42
  5. Step 5: Solve for x
    x = 5,558,386,748.42/82,718.54
  6. Step 6: Final answer
    x = 67,196.39

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Why These Related Problems?

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