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Finding the Fourth Proportional to 100,444.65, 150,669.25 and 25,564.50

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Solution

The fourth proportional to 100,444.65, 150,669.25 and 25,564.50 is: 38,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444.65 : 150,669.25 = 25,564.50 : x
  2. Step 2: Convert to fraction form
    100,444.65/150,669.25 = 25,564.50/x
  3. Step 3: Cross multiply
    100,444.65x = 150,669.25 × 25,564.50
  4. Step 4: Simplify right side
    100,444.65x = 3,851,783,977.71
  5. Step 5: Solve for x
    x = 3,851,783,977.71/100,444.65
  6. Step 6: Final answer
    x = 38,347.33

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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.