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Finding the Fourth Proportional to 30,732.32, 42,410.49 and 17,303.63

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Solution

The fourth proportional to 30,732.32, 42,410.49 and 17,303.63 is: 23,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.32 : 42,410.49 = 17,303.63 : x
  2. Step 2: Convert to fraction form
    30,732.32/42,410.49 = 17,303.63/x
  3. Step 3: Cross multiply
    30,732.32x = 42,410.49 × 17,303.63
  4. Step 4: Simplify right side
    30,732.32x = 733,855,364.31
  5. Step 5: Solve for x
    x = 733,855,364.31/30,732.32
  6. Step 6: Final answer
    x = 23,878.95

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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.