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Finding the Fourth Proportional to 30,902.63, 46,337.53 and 14,254.09

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Solution

The fourth proportional to 30,902.63, 46,337.53 and 14,254.09 is: 21,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.63 : 46,337.53 = 14,254.09 : x
  2. Step 2: Convert to fraction form
    30,902.63/46,337.53 = 14,254.09/x
  3. Step 3: Cross multiply
    30,902.63x = 46,337.53 × 14,254.09
  4. Step 4: Simplify right side
    30,902.63x = 660,499,323.00
  5. Step 5: Solve for x
    x = 660,499,323.00/30,902.63
  6. Step 6: Final answer
    x = 21,373.56

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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.