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Finding the Fourth Proportional to 78,421.70, 108,250.49 and 48,247.47

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Solution

The fourth proportional to 78,421.70, 108,250.49 and 48,247.47 is: 66,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.70 : 108,250.49 = 48,247.47 : x
  2. Step 2: Convert to fraction form
    78,421.70/108,250.49 = 48,247.47/x
  3. Step 3: Cross multiply
    78,421.70x = 108,250.49 × 48,247.47
  4. Step 4: Simplify right side
    78,421.70x = 5,222,812,389.38
  5. Step 5: Solve for x
    x = 5,222,812,389.38/78,421.70
  6. Step 6: Final answer
    x = 66,599.07

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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.