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Finding the Fourth Proportional to 32,989.26, 49,479.93 and 9,298.58

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Solution

The fourth proportional to 32,989.26, 49,479.93 and 9,298.58 is: 13,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.26 : 49,479.93 = 9,298.58 : x
  2. Step 2: Convert to fraction form
    32,989.26/49,479.93 = 9,298.58/x
  3. Step 3: Cross multiply
    32,989.26x = 49,479.93 × 9,298.58
  4. Step 4: Simplify right side
    32,989.26x = 460,093,087.50
  5. Step 5: Solve for x
    x = 460,093,087.50/32,989.26
  6. Step 6: Final answer
    x = 13,946.75

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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.