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Finding the Fourth Proportional to 31,585.32, 47,385.72 and 11,865

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Solution

The fourth proportional to 31,585.32, 47,385.72 and 11,865 is: 17,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.32 : 47,385.72 = 11,865 : x
  2. Step 2: Convert to fraction form
    31,585.32/47,385.72 = 11,865/x
  3. Step 3: Cross multiply
    31,585.32x = 47,385.72 × 11,865
  4. Step 4: Simplify right side
    31,585.32x = 562,231,567.80
  5. Step 5: Solve for x
    x = 562,231,567.80/31,585.32
  6. Step 6: Final answer
    x = 17,800.41

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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.