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Finding the Fourth Proportional to 35,820.42, 49,431.19 and 19,904.46

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Solution

The fourth proportional to 35,820.42, 49,431.19 and 19,904.46 is: 27,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.42 : 49,431.19 = 19,904.46 : x
  2. Step 2: Convert to fraction form
    35,820.42/49,431.19 = 19,904.46/x
  3. Step 3: Cross multiply
    35,820.42x = 49,431.19 × 19,904.46
  4. Step 4: Simplify right side
    35,820.42x = 983,901,144.11
  5. Step 5: Solve for x
    x = 983,901,144.11/35,820.42
  6. Step 6: Final answer
    x = 27,467.60

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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.