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Finding the Fourth Proportional to 31,894.50, 47,848.59 and 9,709.68

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Solution

The fourth proportional to 31,894.50, 47,848.59 and 9,709.68 is: 14,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.50 : 47,848.59 = 9,709.68 : x
  2. Step 2: Convert to fraction form
    31,894.50/47,848.59 = 9,709.68/x
  3. Step 3: Cross multiply
    31,894.50x = 47,848.59 × 9,709.68
  4. Step 4: Simplify right side
    31,894.50x = 464,594,497.35
  5. Step 5: Solve for x
    x = 464,594,497.35/31,894.50
  6. Step 6: Final answer
    x = 14,566.60

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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.