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Finding the Fourth Proportional to 30,871.70, 46,306.26 and 13,097.48

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Solution

The fourth proportional to 30,871.70, 46,306.26 and 13,097.48 is: 19,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.70 : 46,306.26 = 13,097.48 : x
  2. Step 2: Convert to fraction form
    30,871.70/46,306.26 = 13,097.48/x
  3. Step 3: Cross multiply
    30,871.70x = 46,306.26 × 13,097.48
  4. Step 4: Simplify right side
    30,871.70x = 606,495,314.22
  5. Step 5: Solve for x
    x = 606,495,314.22/30,871.70
  6. Step 6: Final answer
    x = 19,645.67

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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.