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Finding the Fourth Proportional to 31,603.57, 47,405.34 and 8,230.01

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Solution

The fourth proportional to 31,603.57, 47,405.34 and 8,230.01 is: 12,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.57 : 47,405.34 = 8,230.01 : x
  2. Step 2: Convert to fraction form
    31,603.57/47,405.34 = 8,230.01/x
  3. Step 3: Cross multiply
    31,603.57x = 47,405.34 × 8,230.01
  4. Step 4: Simplify right side
    31,603.57x = 390,146,185.23
  5. Step 5: Solve for x
    x = 390,146,185.23/31,603.57
  6. Step 6: Final answer
    x = 12,345.00

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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.