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Finding the Fourth Proportional to 48,313, 66,697.86 and 37,677.16

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Solution

The fourth proportional to 48,313, 66,697.86 and 37,677.16 is: 52,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,313 : 66,697.86 = 37,677.16 : x
  2. Step 2: Convert to fraction form
    48,313/66,697.86 = 37,677.16/x
  3. Step 3: Cross multiply
    48,313x = 66,697.86 × 37,677.16
  4. Step 4: Simplify right side
    48,313x = 2,512,985,942.88
  5. Step 5: Solve for x
    x = 2,512,985,942.88/48,313
  6. Step 6: Final answer
    x = 52,014.69

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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.