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Finding the Fourth Proportional to 31,653.40, 47,462.57 and 12,946.57

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Solution

The fourth proportional to 31,653.40, 47,462.57 and 12,946.57 is: 19,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.40 : 47,462.57 = 12,946.57 : x
  2. Step 2: Convert to fraction form
    31,653.40/47,462.57 = 12,946.57/x
  3. Step 3: Cross multiply
    31,653.40x = 47,462.57 × 12,946.57
  4. Step 4: Simplify right side
    31,653.40x = 614,477,247.57
  5. Step 5: Solve for x
    x = 614,477,247.57/31,653.40
  6. Step 6: Final answer
    x = 19,412.68

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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.