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Finding the Fourth Proportional to 30,917.03, 42,665.51 and 17,488

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Solution

The fourth proportional to 30,917.03, 42,665.51 and 17,488 is: 24,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.03 : 42,665.51 = 17,488 : x
  2. Step 2: Convert to fraction form
    30,917.03/42,665.51 = 17,488/x
  3. Step 3: Cross multiply
    30,917.03x = 42,665.51 × 17,488
  4. Step 4: Simplify right side
    30,917.03x = 746,134,438.88
  5. Step 5: Solve for x
    x = 746,134,438.88/30,917.03
  6. Step 6: Final answer
    x = 24,133.44

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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.