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Finding the Fourth Proportional to 30,849.16, 46,212.07 and 14,186.35

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Solution

The fourth proportional to 30,849.16, 46,212.07 and 14,186.35 is: 21,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.16 : 46,212.07 = 14,186.35 : x
  2. Step 2: Convert to fraction form
    30,849.16/46,212.07 = 14,186.35/x
  3. Step 3: Cross multiply
    30,849.16x = 46,212.07 × 14,186.35
  4. Step 4: Simplify right side
    30,849.16x = 655,580,368.18
  5. Step 5: Solve for x
    x = 655,580,368.18/30,849.16
  6. Step 6: Final answer
    x = 21,251.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.