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Finding the Fourth Proportional to 65,898.58, 98,828.70 and 37,813.86

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Solution

The fourth proportional to 65,898.58, 98,828.70 and 37,813.86 is: 56,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898.58 : 98,828.70 = 37,813.86 : x
  2. Step 2: Convert to fraction form
    65,898.58/98,828.70 = 37,813.86/x
  3. Step 3: Cross multiply
    65,898.58x = 98,828.70 × 37,813.86
  4. Step 4: Simplify right side
    65,898.58x = 3,737,094,625.78
  5. Step 5: Solve for x
    x = 3,737,094,625.78/65,898.58
  6. Step 6: Final answer
    x = 56,709.79

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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.