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Finding the Fourth Proportional to 65,840.78, 98,773.46 and 26,400.98

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Solution

The fourth proportional to 65,840.78, 98,773.46 and 26,400.98 is: 39,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840.78 : 98,773.46 = 26,400.98 : x
  2. Step 2: Convert to fraction form
    65,840.78/98,773.46 = 26,400.98/x
  3. Step 3: Cross multiply
    65,840.78x = 98,773.46 × 26,400.98
  4. Step 4: Simplify right side
    65,840.78x = 2,607,716,141.99
  5. Step 5: Solve for x
    x = 2,607,716,141.99/65,840.78
  6. Step 6: Final answer
    x = 39,606.40

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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.