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Finding the Fourth Proportional to 35,071.23, 48,400.89 and 19,968.78

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Solution

The fourth proportional to 35,071.23, 48,400.89 and 19,968.78 is: 27,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071.23 : 48,400.89 = 19,968.78 : x
  2. Step 2: Convert to fraction form
    35,071.23/48,400.89 = 19,968.78/x
  3. Step 3: Cross multiply
    35,071.23x = 48,400.89 × 19,968.78
  4. Step 4: Simplify right side
    35,071.23x = 966,506,724.21
  5. Step 5: Solve for x
    x = 966,506,724.21/35,071.23
  6. Step 6: Final answer
    x = 27,558.39

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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.