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Finding the Fourth Proportional to 101,609.64, 152,509.02 and 51,727.08

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Solution

The fourth proportional to 101,609.64, 152,509.02 and 51,727.08 is: 77,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,609.64 : 152,509.02 = 51,727.08 : x
  2. Step 2: Convert to fraction form
    101,609.64/152,509.02 = 51,727.08/x
  3. Step 3: Cross multiply
    101,609.64x = 152,509.02 × 51,727.08
  4. Step 4: Simplify right side
    101,609.64x = 7,888,845,706.35
  5. Step 5: Solve for x
    x = 7,888,845,706.35/101,609.64
  6. Step 6: Final answer
    x = 77,638.76

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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.