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Finding the Fourth Proportional to 67,835.64, 101,798.64 and 27,887.40

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Solution

The fourth proportional to 67,835.64, 101,798.64 and 27,887.40 is: 41,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,835.64 : 101,798.64 = 27,887.40 : x
  2. Step 2: Convert to fraction form
    67,835.64/101,798.64 = 27,887.40/x
  3. Step 3: Cross multiply
    67,835.64x = 101,798.64 × 27,887.40
  4. Step 4: Simplify right side
    67,835.64x = 2,838,899,393.14
  5. Step 5: Solve for x
    x = 2,838,899,393.14/67,835.64
  6. Step 6: Final answer
    x = 41,849.67

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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.