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Finding the Fourth Proportional to 85,542.64, 128,063.76 and 49,894.96

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Solution

The fourth proportional to 85,542.64, 128,063.76 and 49,894.96 is: 74,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,542.64 : 128,063.76 = 49,894.96 : x
  2. Step 2: Convert to fraction form
    85,542.64/128,063.76 = 49,894.96/x
  3. Step 3: Cross multiply
    85,542.64x = 128,063.76 × 49,894.96
  4. Step 4: Simplify right side
    85,542.64x = 6,389,736,182.65
  5. Step 5: Solve for x
    x = 6,389,736,182.65/85,542.64
  6. Step 6: Final answer
    x = 74,696.50

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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.