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Finding the Fourth Proportional to 38,971.84, 53,759.72 and 23,053.22

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Solution

The fourth proportional to 38,971.84, 53,759.72 and 23,053.22 is: 31,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.84 : 53,759.72 = 23,053.22 : x
  2. Step 2: Convert to fraction form
    38,971.84/53,759.72 = 23,053.22/x
  3. Step 3: Cross multiply
    38,971.84x = 53,759.72 × 23,053.22
  4. Step 4: Simplify right side
    38,971.84x = 1,239,334,652.30
  5. Step 5: Solve for x
    x = 1,239,334,652.30/38,971.84
  6. Step 6: Final answer
    x = 31,800.77

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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.