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Finding the Fourth Proportional to 30,934.55, 46,342.03 and 18,464.51

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Solution

The fourth proportional to 30,934.55, 46,342.03 and 18,464.51 is: 27,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.55 : 46,342.03 = 18,464.51 : x
  2. Step 2: Convert to fraction form
    30,934.55/46,342.03 = 18,464.51/x
  3. Step 3: Cross multiply
    30,934.55x = 46,342.03 × 18,464.51
  4. Step 4: Simplify right side
    30,934.55x = 855,682,598.48
  5. Step 5: Solve for x
    x = 855,682,598.48/30,934.55
  6. Step 6: Final answer
    x = 27,661.07

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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.