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Finding the Fourth Proportional to 53,127.52, 73,345.44 and 31,912

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Solution

The fourth proportional to 53,127.52, 73,345.44 and 31,912 is: 44,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,127.52 : 73,345.44 = 31,912 : x
  2. Step 2: Convert to fraction form
    53,127.52/73,345.44 = 31,912/x
  3. Step 3: Cross multiply
    53,127.52x = 73,345.44 × 31,912
  4. Step 4: Simplify right side
    53,127.52x = 2,340,599,681.28
  5. Step 5: Solve for x
    x = 2,340,599,681.28/53,127.52
  6. Step 6: Final answer
    x = 44,056.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.