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Finding the Fourth Proportional to 31,777.30, 47,666.31 and 9,590.89

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Solution

The fourth proportional to 31,777.30, 47,666.31 and 9,590.89 is: 14,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.30 : 47,666.31 = 9,590.89 : x
  2. Step 2: Convert to fraction form
    31,777.30/47,666.31 = 9,590.89/x
  3. Step 3: Cross multiply
    31,777.30x = 47,666.31 × 9,590.89
  4. Step 4: Simplify right side
    31,777.30x = 457,162,335.92
  5. Step 5: Solve for x
    x = 457,162,335.92/31,777.30
  6. Step 6: Final answer
    x = 14,386.44

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1.5x scale

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.