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Finding the Fourth Proportional to 130,587.93, 195,881.94 and 35,819.10

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Solution

The fourth proportional to 130,587.93, 195,881.94 and 35,819.10 is: 53,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,587.93 : 195,881.94 = 35,819.10 : x
  2. Step 2: Convert to fraction form
    130,587.93/195,881.94 = 35,819.10/x
  3. Step 3: Cross multiply
    130,587.93x = 195,881.94 × 35,819.10
  4. Step 4: Simplify right side
    130,587.93x = 7,016,314,797.05
  5. Step 5: Solve for x
    x = 7,016,314,797.05/130,587.93
  6. Step 6: Final answer
    x = 53,728.66

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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.