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Finding the Fourth Proportional to 31,246.76, 46,877.74 and 9,059.65

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Solution

The fourth proportional to 31,246.76, 46,877.74 and 9,059.65 is: 13,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246.76 : 46,877.74 = 9,059.65 : x
  2. Step 2: Convert to fraction form
    31,246.76/46,877.74 = 9,059.65/x
  3. Step 3: Cross multiply
    31,246.76x = 46,877.74 × 9,059.65
  4. Step 4: Simplify right side
    31,246.76x = 424,695,777.35
  5. Step 5: Solve for x
    x = 424,695,777.35/31,246.76
  6. Step 6: Final answer
    x = 13,591.67

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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.