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Finding the Fourth Proportional to 65,207.82, 97,745.55 and 37,069.74

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Solution

The fourth proportional to 65,207.82, 97,745.55 and 37,069.74 is: 55,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.82 : 97,745.55 = 37,069.74 : x
  2. Step 2: Convert to fraction form
    65,207.82/97,745.55 = 37,069.74/x
  3. Step 3: Cross multiply
    65,207.82x = 97,745.55 × 37,069.74
  4. Step 4: Simplify right side
    65,207.82x = 3,623,402,124.66
  5. Step 5: Solve for x
    x = 3,623,402,124.66/65,207.82
  6. Step 6: Final answer
    x = 55,566.99

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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.