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Finding the Fourth Proportional to 105,166.64, 157,827.72 and 38,648

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Solution

The fourth proportional to 105,166.64, 157,827.72 and 38,648 is: 58,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,166.64 : 157,827.72 = 38,648 : x
  2. Step 2: Convert to fraction form
    105,166.64/157,827.72 = 38,648/x
  3. Step 3: Cross multiply
    105,166.64x = 157,827.72 × 38,648
  4. Step 4: Simplify right side
    105,166.64x = 6,099,725,722.56
  5. Step 5: Solve for x
    x = 6,099,725,722.56/105,166.64
  6. Step 6: Final answer
    x = 58,000.58

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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.