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Finding the Fourth Proportional to 65,897.31, 98,751.31 and 37,456.86

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Solution

The fourth proportional to 65,897.31, 98,751.31 and 37,456.86 is: 56,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.31 : 98,751.31 = 37,456.86 : x
  2. Step 2: Convert to fraction form
    65,897.31/98,751.31 = 37,456.86/x
  3. Step 3: Cross multiply
    65,897.31x = 98,751.31 × 37,456.86
  4. Step 4: Simplify right side
    65,897.31x = 3,698,913,899.84
  5. Step 5: Solve for x
    x = 3,698,913,899.84/65,897.31
  6. Step 6: Final answer
    x = 56,131.49

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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.