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Finding the Fourth Proportional to 30,767.90, 42,448.30 and 23,599.10

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Solution

The fourth proportional to 30,767.90, 42,448.30 and 23,599.10 is: 32,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.90 : 42,448.30 = 23,599.10 : x
  2. Step 2: Convert to fraction form
    30,767.90/42,448.30 = 23,599.10/x
  3. Step 3: Cross multiply
    30,767.90x = 42,448.30 × 23,599.10
  4. Step 4: Simplify right side
    30,767.90x = 1,001,741,617.63
  5. Step 5: Solve for x
    x = 1,001,741,617.63/30,767.90
  6. Step 6: Final answer
    x = 32,558.01

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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.