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Finding the Fourth Proportional to 65,104.85, 97,656.57 and 49,406.32

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Solution

The fourth proportional to 65,104.85, 97,656.57 and 49,406.32 is: 74,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.85 : 97,656.57 = 49,406.32 : x
  2. Step 2: Convert to fraction form
    65,104.85/97,656.57 = 49,406.32/x
  3. Step 3: Cross multiply
    65,104.85x = 97,656.57 × 49,406.32
  4. Step 4: Simplify right side
    65,104.85x = 4,824,851,747.52
  5. Step 5: Solve for x
    x = 4,824,851,747.52/65,104.85
  6. Step 6: Final answer
    x = 74,108.94

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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.