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Finding the Fourth Proportional to 31,714.70, 47,579.34 and 9,528.50

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Solution

The fourth proportional to 31,714.70, 47,579.34 and 9,528.50 is: 14,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.70 : 47,579.34 = 9,528.50 : x
  2. Step 2: Convert to fraction form
    31,714.70/47,579.34 = 9,528.50/x
  3. Step 3: Cross multiply
    31,714.70x = 47,579.34 × 9,528.50
  4. Step 4: Simplify right side
    31,714.70x = 453,359,741.19
  5. Step 5: Solve for x
    x = 453,359,741.19/31,714.70
  6. Step 6: Final answer
    x = 14,294.94

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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.