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Finding the Fourth Proportional to 82,953.63, 124,435.10 and 23,787.75

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Solution

The fourth proportional to 82,953.63, 124,435.10 and 23,787.75 is: 35,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.63 : 124,435.10 = 23,787.75 : x
  2. Step 2: Convert to fraction form
    82,953.63/124,435.10 = 23,787.75/x
  3. Step 3: Cross multiply
    82,953.63x = 124,435.10 × 23,787.75
  4. Step 4: Simplify right side
    82,953.63x = 2,960,031,050.03
  5. Step 5: Solve for x
    x = 2,960,031,050.03/82,953.63
  6. Step 6: Final answer
    x = 35,682.96

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Why These Related Problems?

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