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Finding the Fourth Proportional to 30,920, 46,387.68 and 9,032

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Solution

The fourth proportional to 30,920, 46,387.68 and 9,032 is: 13,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920 : 46,387.68 = 9,032 : x
  2. Step 2: Convert to fraction form
    30,920/46,387.68 = 9,032/x
  3. Step 3: Cross multiply
    30,920x = 46,387.68 × 9,032
  4. Step 4: Simplify right side
    30,920x = 418,973,525.76
  5. Step 5: Solve for x
    x = 418,973,525.76/30,920
  6. Step 6: Final answer
    x = 13,550.24

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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.