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Finding the Fourth Proportional to 31,674.08, 47,530.08 and 12,695.36

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Solution

The fourth proportional to 31,674.08, 47,530.08 and 12,695.36 is: 19,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.08 : 47,530.08 = 12,695.36 : x
  2. Step 2: Convert to fraction form
    31,674.08/47,530.08 = 12,695.36/x
  3. Step 3: Cross multiply
    31,674.08x = 47,530.08 × 12,695.36
  4. Step 4: Simplify right side
    31,674.08x = 603,411,476.43
  5. Step 5: Solve for x
    x = 603,411,476.43/31,674.08
  6. Step 6: Final answer
    x = 19,050.64

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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.