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Finding the Fourth Proportional to 38,364.84, 57,518.10 and 31,833

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Solution

The fourth proportional to 38,364.84, 57,518.10 and 31,833 is: 47,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,364.84 : 57,518.10 = 31,833 : x
  2. Step 2: Convert to fraction form
    38,364.84/57,518.10 = 31,833/x
  3. Step 3: Cross multiply
    38,364.84x = 57,518.10 × 31,833
  4. Step 4: Simplify right side
    38,364.84x = 1,830,973,677.30
  5. Step 5: Solve for x
    x = 1,830,973,677.30/38,364.84
  6. Step 6: Final answer
    x = 47,725.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.