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Finding the Fourth Proportional to 98,769.72, 148,187.84 and 31,312.77

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Solution

The fourth proportional to 98,769.72, 148,187.84 and 31,312.77 is: 46,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,769.72 : 148,187.84 = 31,312.77 : x
  2. Step 2: Convert to fraction form
    98,769.72/148,187.84 = 31,312.77/x
  3. Step 3: Cross multiply
    98,769.72x = 148,187.84 × 31,312.77
  4. Step 4: Simplify right side
    98,769.72x = 4,640,171,594.15
  5. Step 5: Solve for x
    x = 4,640,171,594.15/98,769.72
  6. Step 6: Final answer
    x = 46,979.70

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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.