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Finding the Fourth Proportional to 32,984.96, 49,490.40 and 14,504

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Solution

The fourth proportional to 32,984.96, 49,490.40 and 14,504 is: 21,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.96 : 49,490.40 = 14,504 : x
  2. Step 2: Convert to fraction form
    32,984.96/49,490.40 = 14,504/x
  3. Step 3: Cross multiply
    32,984.96x = 49,490.40 × 14,504
  4. Step 4: Simplify right side
    32,984.96x = 717,808,761.60
  5. Step 5: Solve for x
    x = 717,808,761.60/32,984.96
  6. Step 6: Final answer
    x = 21,761.70

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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.