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Finding the Fourth Proportional to 32,975.46, 49,465.46 and 13,254.03

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Solution

The fourth proportional to 32,975.46, 49,465.46 and 13,254.03 is: 19,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.46 : 49,465.46 = 13,254.03 : x
  2. Step 2: Convert to fraction form
    32,975.46/49,465.46 = 13,254.03/x
  3. Step 3: Cross multiply
    32,975.46x = 49,465.46 × 13,254.03
  4. Step 4: Simplify right side
    32,975.46x = 655,616,723.94
  5. Step 5: Solve for x
    x = 655,616,723.94/32,975.46
  6. Step 6: Final answer
    x = 19,881.96

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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.