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Finding the Fourth Proportional to 71,047, 106,539.42 and 37,759.06

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Solution

The fourth proportional to 71,047, 106,539.42 and 37,759.06 is: 56,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047 : 106,539.42 = 37,759.06 : x
  2. Step 2: Convert to fraction form
    71,047/106,539.42 = 37,759.06/x
  3. Step 3: Cross multiply
    71,047x = 106,539.42 × 37,759.06
  4. Step 4: Simplify right side
    71,047x = 4,022,828,352.15
  5. Step 5: Solve for x
    x = 4,022,828,352.15/71,047
  6. Step 6: Final answer
    x = 56,622.07

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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.