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Finding the Fourth Proportional to 52,110, 71,917.27 and 31,962.26

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Solution

The fourth proportional to 52,110, 71,917.27 and 31,962.26 is: 44,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110 : 71,917.27 = 31,962.26 : x
  2. Step 2: Convert to fraction form
    52,110/71,917.27 = 31,962.26/x
  3. Step 3: Cross multiply
    52,110x = 71,917.27 × 31,962.26
  4. Step 4: Simplify right side
    52,110x = 2,298,638,582.12
  5. Step 5: Solve for x
    x = 2,298,638,582.12/52,110
  6. Step 6: Final answer
    x = 44,111.28

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