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Finding the Fourth Proportional to 35,070, 48,396.60 and 20,166

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Solution

The fourth proportional to 35,070, 48,396.60 and 20,166 is: 27,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,070 : 48,396.60 = 20,166 : x
  2. Step 2: Convert to fraction form
    35,070/48,396.60 = 20,166/x
  3. Step 3: Cross multiply
    35,070x = 48,396.60 × 20,166
  4. Step 4: Simplify right side
    35,070x = 975,965,835.60
  5. Step 5: Solve for x
    x = 975,965,835.60/35,070
  6. Step 6: Final answer
    x = 27,829.08

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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.