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Finding the Fourth Proportional to 31,894.68, 47,844.47 and 9,709.95

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Solution

The fourth proportional to 31,894.68, 47,844.47 and 9,709.95 is: 14,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.68 : 47,844.47 = 9,709.95 : x
  2. Step 2: Convert to fraction form
    31,894.68/47,844.47 = 9,709.95/x
  3. Step 3: Cross multiply
    31,894.68x = 47,844.47 × 9,709.95
  4. Step 4: Simplify right side
    31,894.68x = 464,567,362.93
  5. Step 5: Solve for x
    x = 464,567,362.93/31,894.68
  6. Step 6: Final answer
    x = 14,565.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.