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Finding the Fourth Proportional to 32,083.70, 48,133.76 and 13,357.51

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Solution

The fourth proportional to 32,083.70, 48,133.76 and 13,357.51 is: 20,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.70 : 48,133.76 = 13,357.51 : x
  2. Step 2: Convert to fraction form
    32,083.70/48,133.76 = 13,357.51/x
  3. Step 3: Cross multiply
    32,083.70x = 48,133.76 × 13,357.51
  4. Step 4: Simplify right side
    32,083.70x = 642,946,993.42
  5. Step 5: Solve for x
    x = 642,946,993.42/32,083.70
  6. Step 6: Final answer
    x = 20,039.68

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1.5x scale

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.