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Finding the Fourth Proportional to 100,595.63, 138,825.61 and 57,583.01

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Solution

The fourth proportional to 100,595.63, 138,825.61 and 57,583.01 is: 79,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595.63 : 138,825.61 = 57,583.01 : x
  2. Step 2: Convert to fraction form
    100,595.63/138,825.61 = 57,583.01/x
  3. Step 3: Cross multiply
    100,595.63x = 138,825.61 × 57,583.01
  4. Step 4: Simplify right side
    100,595.63x = 7,993,995,650.80
  5. Step 5: Solve for x
    x = 7,993,995,650.80/100,595.63
  6. Step 6: Final answer
    x = 79,466.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.