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Finding the Fourth Proportional to 32,875, 49,302.06 and 10,683.24

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Solution

The fourth proportional to 32,875, 49,302.06 and 10,683.24 is: 16,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875 : 49,302.06 = 10,683.24 : x
  2. Step 2: Convert to fraction form
    32,875/49,302.06 = 10,683.24/x
  3. Step 3: Cross multiply
    32,875x = 49,302.06 × 10,683.24
  4. Step 4: Simplify right side
    32,875x = 526,705,739.47
  5. Step 5: Solve for x
    x = 526,705,739.47/32,875
  6. Step 6: Final answer
    x = 16,021.47

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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.