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Finding the Fourth Proportional to 101,825.52, 152,798.76 and 55,077.36

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Solution

The fourth proportional to 101,825.52, 152,798.76 and 55,077.36 is: 82,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,825.52 : 152,798.76 = 55,077.36 : x
  2. Step 2: Convert to fraction form
    101,825.52/152,798.76 = 55,077.36/x
  3. Step 3: Cross multiply
    101,825.52x = 152,798.76 × 55,077.36
  4. Step 4: Simplify right side
    101,825.52x = 8,415,752,312.07
  5. Step 5: Solve for x
    x = 8,415,752,312.07/101,825.52
  6. Step 6: Final answer
    x = 82,648.75

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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.