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Finding the Fourth Proportional to 100,547.61, 150,840.86 and 38,213.25

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Solution

The fourth proportional to 100,547.61, 150,840.86 and 38,213.25 is: 57,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.61 : 150,840.86 = 38,213.25 : x
  2. Step 2: Convert to fraction form
    100,547.61/150,840.86 = 38,213.25/x
  3. Step 3: Cross multiply
    100,547.61x = 150,840.86 × 38,213.25
  4. Step 4: Simplify right side
    100,547.61x = 5,764,119,302.33
  5. Step 5: Solve for x
    x = 5,764,119,302.33/100,547.61
  6. Step 6: Final answer
    x = 57,327.26

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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.