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Finding the Fourth Proportional to 31,904.12, 47,861.98 and 9,714.98

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Solution

The fourth proportional to 31,904.12, 47,861.98 and 9,714.98 is: 14,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.12 : 47,861.98 = 9,714.98 : x
  2. Step 2: Convert to fraction form
    31,904.12/47,861.98 = 9,714.98/x
  3. Step 3: Cross multiply
    31,904.12x = 47,861.98 × 9,714.98
  4. Step 4: Simplify right side
    31,904.12x = 464,978,178.46
  5. Step 5: Solve for x
    x = 464,978,178.46/31,904.12
  6. Step 6: Final answer
    x = 14,574.24

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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.