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Finding the Fourth Proportional to 68,927.15, 103,404.57 and 31,477.16

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Solution

The fourth proportional to 68,927.15, 103,404.57 and 31,477.16 is: 47,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,927.15 : 103,404.57 = 31,477.16 : x
  2. Step 2: Convert to fraction form
    68,927.15/103,404.57 = 31,477.16/x
  3. Step 3: Cross multiply
    68,927.15x = 103,404.57 × 31,477.16
  4. Step 4: Simplify right side
    68,927.15x = 3,254,882,335.09
  5. Step 5: Solve for x
    x = 3,254,882,335.09/68,927.15
  6. Step 6: Final answer
    x = 47,222.06

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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.