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Finding the Fourth Proportional to 97,741, 146,611.50 and 35,411.50

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Solution

The fourth proportional to 97,741, 146,611.50 and 35,411.50 is: 53,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,741 : 146,611.50 = 35,411.50 : x
  2. Step 2: Convert to fraction form
    97,741/146,611.50 = 35,411.50/x
  3. Step 3: Cross multiply
    97,741x = 146,611.50 × 35,411.50
  4. Step 4: Simplify right side
    97,741x = 5,191,733,132.25
  5. Step 5: Solve for x
    x = 5,191,733,132.25/97,741
  6. Step 6: Final answer
    x = 53,117.25

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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.