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Finding the Fourth Proportional to 102,083.86, 153,125.76 and 31,968.64

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Solution

The fourth proportional to 102,083.86, 153,125.76 and 31,968.64 is: 47,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,083.86 : 153,125.76 = 31,968.64 : x
  2. Step 2: Convert to fraction form
    102,083.86/153,125.76 = 31,968.64/x
  3. Step 3: Cross multiply
    102,083.86x = 153,125.76 × 31,968.64
  4. Step 4: Simplify right side
    102,083.86x = 4,895,222,296.17
  5. Step 5: Solve for x
    x = 4,895,222,296.17/102,083.86
  6. Step 6: Final answer
    x = 47,952.95

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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.