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Finding the Fourth Proportional to 92,108.16, 138,128.40 and 32,927.76

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Solution

The fourth proportional to 92,108.16, 138,128.40 and 32,927.76 is: 49,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,108.16 : 138,128.40 = 32,927.76 : x
  2. Step 2: Convert to fraction form
    92,108.16/138,128.40 = 32,927.76/x
  3. Step 3: Cross multiply
    92,108.16x = 138,128.40 × 32,927.76
  4. Step 4: Simplify right side
    92,108.16x = 4,548,258,804.38
  5. Step 5: Solve for x
    x = 4,548,258,804.38/92,108.16
  6. Step 6: Final answer
    x = 49,379.54

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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.