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Finding the Fourth Proportional to 101,742.62, 152,659.29 and 39,417.98

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Solution

The fourth proportional to 101,742.62, 152,659.29 and 39,417.98 is: 59,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.62 : 152,659.29 = 39,417.98 : x
  2. Step 2: Convert to fraction form
    101,742.62/152,659.29 = 39,417.98/x
  3. Step 3: Cross multiply
    101,742.62x = 152,659.29 × 39,417.98
  4. Step 4: Simplify right side
    101,742.62x = 6,017,520,840.03
  5. Step 5: Solve for x
    x = 6,017,520,840.03/101,742.62
  6. Step 6: Final answer
    x = 59,144.54

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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.