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Finding the Fourth Proportional to 68,707.84, 103,056.72 and 21,948.16

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Solution

The fourth proportional to 68,707.84, 103,056.72 and 21,948.16 is: 32,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,707.84 : 103,056.72 = 21,948.16 : x
  2. Step 2: Convert to fraction form
    68,707.84/103,056.72 = 21,948.16/x
  3. Step 3: Cross multiply
    68,707.84x = 103,056.72 × 21,948.16
  4. Step 4: Simplify right side
    68,707.84x = 2,261,905,379.64
  5. Step 5: Solve for x
    x = 2,261,905,379.64/68,707.84
  6. Step 6: Final answer
    x = 32,920.63

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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.