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Finding the Fourth Proportional to 38,932.46, 53,730.78 and 23,835.11

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Solution

The fourth proportional to 38,932.46, 53,730.78 and 23,835.11 is: 32,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,932.46 : 53,730.78 = 23,835.11 : x
  2. Step 2: Convert to fraction form
    38,932.46/53,730.78 = 23,835.11/x
  3. Step 3: Cross multiply
    38,932.46x = 53,730.78 × 23,835.11
  4. Step 4: Simplify right side
    38,932.46x = 1,280,679,051.69
  5. Step 5: Solve for x
    x = 1,280,679,051.69/38,932.46
  6. Step 6: Final answer
    x = 32,894.89

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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.