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Finding the Fourth Proportional to 65,175, 97,609.36 and 31,790.48

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Solution

The fourth proportional to 65,175, 97,609.36 and 31,790.48 is: 47,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175 : 97,609.36 = 31,790.48 : x
  2. Step 2: Convert to fraction form
    65,175/97,609.36 = 31,790.48/x
  3. Step 3: Cross multiply
    65,175x = 97,609.36 × 31,790.48
  4. Step 4: Simplify right side
    65,175x = 3,103,048,406.89
  5. Step 5: Solve for x
    x = 3,103,048,406.89/65,175
  6. Step 6: Final answer
    x = 47,611.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.