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Finding the Fourth Proportional to 31,566.62, 47,341.74 and 9,374.96

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Solution

The fourth proportional to 31,566.62, 47,341.74 and 9,374.96 is: 14,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.62 : 47,341.74 = 9,374.96 : x
  2. Step 2: Convert to fraction form
    31,566.62/47,341.74 = 9,374.96/x
  3. Step 3: Cross multiply
    31,566.62x = 47,341.74 × 9,374.96
  4. Step 4: Simplify right side
    31,566.62x = 443,826,918.83
  5. Step 5: Solve for x
    x = 443,826,918.83/31,566.62
  6. Step 6: Final answer
    x = 14,060.01

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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.