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Finding the Fourth Proportional to 102,370.52, 153,556.17 and 31,292.88

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Solution

The fourth proportional to 102,370.52, 153,556.17 and 31,292.88 is: 46,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,370.52 : 153,556.17 = 31,292.88 : x
  2. Step 2: Convert to fraction form
    102,370.52/153,556.17 = 31,292.88/x
  3. Step 3: Cross multiply
    102,370.52x = 153,556.17 × 31,292.88
  4. Step 4: Simplify right side
    102,370.52x = 4,805,214,801.07
  5. Step 5: Solve for x
    x = 4,805,214,801.07/102,370.52
  6. Step 6: Final answer
    x = 46,939.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.