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Finding the Fourth Proportional to 31,785.42, 47,669.04 and 12,810

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Solution

The fourth proportional to 31,785.42, 47,669.04 and 12,810 is: 19,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.42 : 47,669.04 = 12,810 : x
  2. Step 2: Convert to fraction form
    31,785.42/47,669.04 = 12,810/x
  3. Step 3: Cross multiply
    31,785.42x = 47,669.04 × 12,810
  4. Step 4: Simplify right side
    31,785.42x = 610,640,402.40
  5. Step 5: Solve for x
    x = 610,640,402.40/31,785.42
  6. Step 6: Final answer
    x = 19,211.34

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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.