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Finding the Fourth Proportional to 66,084.06, 91,196.10 and 35,869.39

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Solution

The fourth proportional to 66,084.06, 91,196.10 and 35,869.39 is: 49,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084.06 : 91,196.10 = 35,869.39 : x
  2. Step 2: Convert to fraction form
    66,084.06/91,196.10 = 35,869.39/x
  3. Step 3: Cross multiply
    66,084.06x = 91,196.10 × 35,869.39
  4. Step 4: Simplify right side
    66,084.06x = 3,271,148,477.38
  5. Step 5: Solve for x
    x = 3,271,148,477.38/66,084.06
  6. Step 6: Final answer
    x = 49,499.81

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Why These Related Problems?

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