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Finding the Fourth Proportional to 61,754.46, 85,222.74 and 37,894.32

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Solution

The fourth proportional to 61,754.46, 85,222.74 and 37,894.32 is: 52,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754.46 : 85,222.74 = 37,894.32 : x
  2. Step 2: Convert to fraction form
    61,754.46/85,222.74 = 37,894.32/x
  3. Step 3: Cross multiply
    61,754.46x = 85,222.74 × 37,894.32
  4. Step 4: Simplify right side
    61,754.46x = 3,229,457,780.84
  5. Step 5: Solve for x
    x = 3,229,457,780.84/61,754.46
  6. Step 6: Final answer
    x = 52,295.13

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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.