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Finding the Fourth Proportional to 96,828.34, 145,249.76 and 26,707

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Solution

The fourth proportional to 96,828.34, 145,249.76 and 26,707 is: 40,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,828.34 : 145,249.76 = 26,707 : x
  2. Step 2: Convert to fraction form
    96,828.34/145,249.76 = 26,707/x
  3. Step 3: Cross multiply
    96,828.34x = 145,249.76 × 26,707
  4. Step 4: Simplify right side
    96,828.34x = 3,879,185,340.32
  5. Step 5: Solve for x
    x = 3,879,185,340.32/96,828.34
  6. Step 6: Final answer
    x = 40,062.50

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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.