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Finding the Fourth Proportional to 92,063.68, 138,124.64 and 32,898

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Solution

The fourth proportional to 92,063.68, 138,124.64 and 32,898 is: 49,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,063.68 : 138,124.64 = 32,898 : x
  2. Step 2: Convert to fraction form
    92,063.68/138,124.64 = 32,898/x
  3. Step 3: Cross multiply
    92,063.68x = 138,124.64 × 32,898
  4. Step 4: Simplify right side
    92,063.68x = 4,544,024,406.72
  5. Step 5: Solve for x
    x = 4,544,024,406.72/92,063.68
  6. Step 6: Final answer
    x = 49,357.41

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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.