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Finding the Fourth Proportional to 106,547.88, 159,846.36 and 31,666.44

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Solution

The fourth proportional to 106,547.88, 159,846.36 and 31,666.44 is: 47,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547.88 : 159,846.36 = 31,666.44 : x
  2. Step 2: Convert to fraction form
    106,547.88/159,846.36 = 31,666.44/x
  3. Step 3: Cross multiply
    106,547.88x = 159,846.36 × 31,666.44
  4. Step 4: Simplify right side
    106,547.88x = 5,061,765,168.16
  5. Step 5: Solve for x
    x = 5,061,765,168.16/106,547.88
  6. Step 6: Final answer
    x = 47,506.95

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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.