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Finding the Fourth Proportional to 31,758.06, 47,643.27 and 9,570.34

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Solution

The fourth proportional to 31,758.06, 47,643.27 and 9,570.34 is: 14,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.06 : 47,643.27 = 9,570.34 : x
  2. Step 2: Convert to fraction form
    31,758.06/47,643.27 = 9,570.34/x
  3. Step 3: Cross multiply
    31,758.06x = 47,643.27 × 9,570.34
  4. Step 4: Simplify right side
    31,758.06x = 455,962,370.11
  5. Step 5: Solve for x
    x = 455,962,370.11/31,758.06
  6. Step 6: Final answer
    x = 14,357.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.