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Finding the Fourth Proportional to 30,909.04, 46,361.68 and 15,108

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Solution

The fourth proportional to 30,909.04, 46,361.68 and 15,108 is: 22,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.04 : 46,361.68 = 15,108 : x
  2. Step 2: Convert to fraction form
    30,909.04/46,361.68 = 15,108/x
  3. Step 3: Cross multiply
    30,909.04x = 46,361.68 × 15,108
  4. Step 4: Simplify right side
    30,909.04x = 700,432,261.44
  5. Step 5: Solve for x
    x = 700,432,261.44/30,909.04
  6. Step 6: Final answer
    x = 22,661.08

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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.