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Finding the Fourth Proportional to 20,218.01, 30,332.07 and 7,070.49

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Solution

The fourth proportional to 20,218.01, 30,332.07 and 7,070.49 is: 10,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.01 : 30,332.07 = 7,070.49 : x
  2. Step 2: Convert to fraction form
    20,218.01/30,332.07 = 7,070.49/x
  3. Step 3: Cross multiply
    20,218.01x = 30,332.07 × 7,070.49
  4. Step 4: Simplify right side
    20,218.01x = 214,462,597.61
  5. Step 5: Solve for x
    x = 214,462,597.61/20,218.01
  6. Step 6: Final answer
    x = 10,607.51

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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.