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Finding the Fourth Proportional to 31,367.40, 47,050.78 and 10,590.76

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Solution

The fourth proportional to 31,367.40, 47,050.78 and 10,590.76 is: 15,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367.40 : 47,050.78 = 10,590.76 : x
  2. Step 2: Convert to fraction form
    31,367.40/47,050.78 = 10,590.76/x
  3. Step 3: Cross multiply
    31,367.40x = 47,050.78 × 10,590.76
  4. Step 4: Simplify right side
    31,367.40x = 498,303,518.79
  5. Step 5: Solve for x
    x = 498,303,518.79/31,367.40
  6. Step 6: Final answer
    x = 15,886.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.