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Finding the Fourth Proportional to 30,902, 46,354.44 and 9,014

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Solution

The fourth proportional to 30,902, 46,354.44 and 9,014 is: 13,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902 : 46,354.44 = 9,014 : x
  2. Step 2: Convert to fraction form
    30,902/46,354.44 = 9,014/x
  3. Step 3: Cross multiply
    30,902x = 46,354.44 × 9,014
  4. Step 4: Simplify right side
    30,902x = 417,838,922.16
  5. Step 5: Solve for x
    x = 417,838,922.16/30,902
  6. Step 6: Final answer
    x = 13,521.42

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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.