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Finding the Fourth Proportional to 32,152.58, 48,191.62 and 19,016

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Solution

The fourth proportional to 32,152.58, 48,191.62 and 19,016 is: 28,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.58 : 48,191.62 = 19,016 : x
  2. Step 2: Convert to fraction form
    32,152.58/48,191.62 = 19,016/x
  3. Step 3: Cross multiply
    32,152.58x = 48,191.62 × 19,016
  4. Step 4: Simplify right side
    32,152.58x = 916,411,845.92
  5. Step 5: Solve for x
    x = 916,411,845.92/32,152.58
  6. Step 6: Final answer
    x = 28,501.97

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Why These Related Problems?

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