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Finding the Fourth Proportional to 34,851.16, 48,095.58 and 20,512

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Solution

The fourth proportional to 34,851.16, 48,095.58 and 20,512 is: 28,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851.16 : 48,095.58 = 20,512 : x
  2. Step 2: Convert to fraction form
    34,851.16/48,095.58 = 20,512/x
  3. Step 3: Cross multiply
    34,851.16x = 48,095.58 × 20,512
  4. Step 4: Simplify right side
    34,851.16x = 986,536,536.96
  5. Step 5: Solve for x
    x = 986,536,536.96/34,851.16
  6. Step 6: Final answer
    x = 28,307.14

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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.