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Finding the Fourth Proportional to 106,877.32, 160,337.85 and 36,747.52

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Solution

The fourth proportional to 106,877.32, 160,337.85 and 36,747.52 is: 55,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,877.32 : 160,337.85 = 36,747.52 : x
  2. Step 2: Convert to fraction form
    106,877.32/160,337.85 = 36,747.52/x
  3. Step 3: Cross multiply
    106,877.32x = 160,337.85 × 36,747.52
  4. Step 4: Simplify right side
    106,877.32x = 5,892,018,349.63
  5. Step 5: Solve for x
    x = 5,892,018,349.63/106,877.32
  6. Step 6: Final answer
    x = 55,128.80

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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.