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Finding the Fourth Proportional to 100,019.04, 138,031.32 and 57,583.68

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Solution

The fourth proportional to 100,019.04, 138,031.32 and 57,583.68 is: 79,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,019.04 : 138,031.32 = 57,583.68 : x
  2. Step 2: Convert to fraction form
    100,019.04/138,031.32 = 57,583.68/x
  3. Step 3: Cross multiply
    100,019.04x = 138,031.32 × 57,583.68
  4. Step 4: Simplify right side
    100,019.04x = 7,948,351,360.86
  5. Step 5: Solve for x
    x = 7,948,351,360.86/100,019.04
  6. Step 6: Final answer
    x = 79,468.38

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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.