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Finding the Fourth Proportional to 65,834.84, 90,852.91 and 37,156.08

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Solution

The fourth proportional to 65,834.84, 90,852.91 and 37,156.08 is: 51,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,834.84 : 90,852.91 = 37,156.08 : x
  2. Step 2: Convert to fraction form
    65,834.84/90,852.91 = 37,156.08/x
  3. Step 3: Cross multiply
    65,834.84x = 90,852.91 × 37,156.08
  4. Step 4: Simplify right side
    65,834.84x = 3,375,738,240.00
  5. Step 5: Solve for x
    x = 3,375,738,240.00/65,834.84
  6. Step 6: Final answer
    x = 51,275.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.