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Finding the Fourth Proportional to 46,506.27, 69,717.21 and 16,903.20

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Solution

The fourth proportional to 46,506.27, 69,717.21 and 16,903.20 is: 25,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.27 : 69,717.21 = 16,903.20 : x
  2. Step 2: Convert to fraction form
    46,506.27/69,717.21 = 16,903.20/x
  3. Step 3: Cross multiply
    46,506.27x = 69,717.21 × 16,903.20
  4. Step 4: Simplify right side
    46,506.27x = 1,178,443,944.07
  5. Step 5: Solve for x
    x = 1,178,443,944.07/46,506.27
  6. Step 6: Final answer
    x = 25,339.46

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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.