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Finding the Fourth Proportional to 52,253.73, 72,111.21 and 31,828.77

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Solution

The fourth proportional to 52,253.73, 72,111.21 and 31,828.77 is: 43,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,253.73 : 72,111.21 = 31,828.77 : x
  2. Step 2: Convert to fraction form
    52,253.73/72,111.21 = 31,828.77/x
  3. Step 3: Cross multiply
    52,253.73x = 72,111.21 × 31,828.77
  4. Step 4: Simplify right side
    52,253.73x = 2,295,211,117.51
  5. Step 5: Solve for x
    x = 2,295,211,117.51/52,253.73
  6. Step 6: Final answer
    x = 43,924.35

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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.