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Finding the Fourth Proportional to 30,902.63, 46,337.54 and 14,254.11

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Solution

The fourth proportional to 30,902.63, 46,337.54 and 14,254.11 is: 21,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.63 : 46,337.54 = 14,254.11 : x
  2. Step 2: Convert to fraction form
    30,902.63/46,337.54 = 14,254.11/x
  3. Step 3: Cross multiply
    30,902.63x = 46,337.54 × 14,254.11
  4. Step 4: Simplify right side
    30,902.63x = 660,500,321.02
  5. Step 5: Solve for x
    x = 660,500,321.02/30,902.63
  6. Step 6: Final answer
    x = 21,373.60

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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.