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Finding the Fourth Proportional to 107,127.36, 160,626.22 and 47,952

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Solution

The fourth proportional to 107,127.36, 160,626.22 and 47,952 is: 71,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,127.36 : 160,626.22 = 47,952 : x
  2. Step 2: Convert to fraction form
    107,127.36/160,626.22 = 47,952/x
  3. Step 3: Cross multiply
    107,127.36x = 160,626.22 × 47,952
  4. Step 4: Simplify right side
    107,127.36x = 7,702,348,501.44
  5. Step 5: Solve for x
    x = 7,702,348,501.44/107,127.36
  6. Step 6: Final answer
    x = 71,898.99

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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.