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Finding the Fourth Proportional to 32,705.50, 49,059.44 and 9,014.93

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Solution

The fourth proportional to 32,705.50, 49,059.44 and 9,014.93 is: 13,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.50 : 49,059.44 = 9,014.93 : x
  2. Step 2: Convert to fraction form
    32,705.50/49,059.44 = 9,014.93/x
  3. Step 3: Cross multiply
    32,705.50x = 49,059.44 × 9,014.93
  4. Step 4: Simplify right side
    32,705.50x = 442,267,344.85
  5. Step 5: Solve for x
    x = 442,267,344.85/32,705.50
  6. Step 6: Final answer
    x = 13,522.72

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Why These Related Problems?

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