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Finding the Fourth Proportional to 100,583.60, 150,875.21 and 25,703.75

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Solution

The fourth proportional to 100,583.60, 150,875.21 and 25,703.75 is: 38,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,583.60 : 150,875.21 = 25,703.75 : x
  2. Step 2: Convert to fraction form
    100,583.60/150,875.21 = 25,703.75/x
  3. Step 3: Cross multiply
    100,583.60x = 150,875.21 × 25,703.75
  4. Step 4: Simplify right side
    100,583.60x = 3,878,059,120.48
  5. Step 5: Solve for x
    x = 3,878,059,120.48/100,583.60
  6. Step 6: Final answer
    x = 38,555.58

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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.