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Finding the Fourth Proportional to 31,002.30, 42,784.05 and 17,573.01

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Solution

The fourth proportional to 31,002.30, 42,784.05 and 17,573.01 is: 24,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.30 : 42,784.05 = 17,573.01 : x
  2. Step 2: Convert to fraction form
    31,002.30/42,784.05 = 17,573.01/x
  3. Step 3: Cross multiply
    31,002.30x = 42,784.05 × 17,573.01
  4. Step 4: Simplify right side
    31,002.30x = 751,844,538.49
  5. Step 5: Solve for x
    x = 751,844,538.49/31,002.30
  6. Step 6: Final answer
    x = 24,251.25

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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.