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Finding the Fourth Proportional to 68,521.96, 102,780.76 and 31,054.60

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Solution

The fourth proportional to 68,521.96, 102,780.76 and 31,054.60 is: 46,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,521.96 : 102,780.76 = 31,054.60 : x
  2. Step 2: Convert to fraction form
    68,521.96/102,780.76 = 31,054.60/x
  3. Step 3: Cross multiply
    68,521.96x = 102,780.76 × 31,054.60
  4. Step 4: Simplify right side
    68,521.96x = 3,191,815,389.50
  5. Step 5: Solve for x
    x = 3,191,815,389.50/68,521.96
  6. Step 6: Final answer
    x = 46,580.91

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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.