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Finding the Fourth Proportional to 71,133.04, 106,810.53 and 67,978.09

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Solution

The fourth proportional to 71,133.04, 106,810.53 and 67,978.09 is: 102,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,133.04 : 106,810.53 = 67,978.09 : x
  2. Step 2: Convert to fraction form
    71,133.04/106,810.53 = 67,978.09/x
  3. Step 3: Cross multiply
    71,133.04x = 106,810.53 × 67,978.09
  4. Step 4: Simplify right side
    71,133.04x = 7,260,775,821.29
  5. Step 5: Solve for x
    x = 7,260,775,821.29/71,133.04
  6. Step 6: Final answer
    x = 102,073.18

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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.