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Finding the Fourth Proportional to 31,590.50, 47,351.70 and 16,784.51

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Solution

The fourth proportional to 31,590.50, 47,351.70 and 16,784.51 is: 25,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.50 : 47,351.70 = 16,784.51 : x
  2. Step 2: Convert to fraction form
    31,590.50/47,351.70 = 16,784.51/x
  3. Step 3: Cross multiply
    31,590.50x = 47,351.70 × 16,784.51
  4. Step 4: Simplify right side
    31,590.50x = 794,774,845.41
  5. Step 5: Solve for x
    x = 794,774,845.41/31,590.50
  6. Step 6: Final answer
    x = 25,158.67

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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.