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Finding the Fourth Proportional to 34,946.96, 48,225.92 and 20,042

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Solution

The fourth proportional to 34,946.96, 48,225.92 and 20,042 is: 27,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,946.96 : 48,225.92 = 20,042 : x
  2. Step 2: Convert to fraction form
    34,946.96/48,225.92 = 20,042/x
  3. Step 3: Cross multiply
    34,946.96x = 48,225.92 × 20,042
  4. Step 4: Simplify right side
    34,946.96x = 966,543,888.64
  5. Step 5: Solve for x
    x = 966,543,888.64/34,946.96
  6. Step 6: Final answer
    x = 27,657.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.