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Finding the Fourth Proportional to 30,582.17, 42,200.02 and 17,150.66

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Solution

The fourth proportional to 30,582.17, 42,200.02 and 17,150.66 is: 23,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.17 : 42,200.02 = 17,150.66 : x
  2. Step 2: Convert to fraction form
    30,582.17/42,200.02 = 17,150.66/x
  3. Step 3: Cross multiply
    30,582.17x = 42,200.02 × 17,150.66
  4. Step 4: Simplify right side
    30,582.17x = 723,758,195.01
  5. Step 5: Solve for x
    x = 723,758,195.01/30,582.17
  6. Step 6: Final answer
    x = 23,666.02

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