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Finding the Fourth Proportional to 32,927.60, 49,397.80 and 14,207.60

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Solution

The fourth proportional to 32,927.60, 49,397.80 and 14,207.60 is: 21,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927.60 : 49,397.80 = 14,207.60 : x
  2. Step 2: Convert to fraction form
    32,927.60/49,397.80 = 14,207.60/x
  3. Step 3: Cross multiply
    32,927.60x = 49,397.80 × 14,207.60
  4. Step 4: Simplify right side
    32,927.60x = 701,824,183.28
  5. Step 5: Solve for x
    x = 701,824,183.28/32,927.60
  6. Step 6: Final answer
    x = 21,314.16

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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.