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Finding the Fourth Proportional to 35,838.42, 49,479.16 and 23,096.10

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Solution

The fourth proportional to 35,838.42, 49,479.16 and 23,096.10 is: 31,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.42 : 49,479.16 = 23,096.10 : x
  2. Step 2: Convert to fraction form
    35,838.42/49,479.16 = 23,096.10/x
  3. Step 3: Cross multiply
    35,838.42x = 49,479.16 × 23,096.10
  4. Step 4: Simplify right side
    35,838.42x = 1,142,775,627.28
  5. Step 5: Solve for x
    x = 1,142,775,627.28/35,838.42
  6. Step 6: Final answer
    x = 31,886.89

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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.