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Finding the Fourth Proportional to 30,211.40, 45,323.40 and 9,152.96

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Solution

The fourth proportional to 30,211.40, 45,323.40 and 9,152.96 is: 13,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.40 : 45,323.40 = 9,152.96 : x
  2. Step 2: Convert to fraction form
    30,211.40/45,323.40 = 9,152.96/x
  3. Step 3: Cross multiply
    30,211.40x = 45,323.40 × 9,152.96
  4. Step 4: Simplify right side
    30,211.40x = 414,843,267.26
  5. Step 5: Solve for x
    x = 414,843,267.26/30,211.40
  6. Step 6: Final answer
    x = 13,731.35

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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.