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Finding the Fourth Proportional to 100,582.94, 150,902.64 and 29,507.25

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Solution

The fourth proportional to 100,582.94, 150,902.64 and 29,507.25 is: 44,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.94 : 150,902.64 = 29,507.25 : x
  2. Step 2: Convert to fraction form
    100,582.94/150,902.64 = 29,507.25/x
  3. Step 3: Cross multiply
    100,582.94x = 150,902.64 × 29,507.25
  4. Step 4: Simplify right side
    100,582.94x = 4,452,721,924.14
  5. Step 5: Solve for x
    x = 4,452,721,924.14/100,582.94
  6. Step 6: Final answer
    x = 44,269.16

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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.