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Finding the Fourth Proportional to 35,120, 48,465.60 and 20,216

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Solution

The fourth proportional to 35,120, 48,465.60 and 20,216 is: 27,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,120 : 48,465.60 = 20,216 : x
  2. Step 2: Convert to fraction form
    35,120/48,465.60 = 20,216/x
  3. Step 3: Cross multiply
    35,120x = 48,465.60 × 20,216
  4. Step 4: Simplify right side
    35,120x = 979,780,569.60
  5. Step 5: Solve for x
    x = 979,780,569.60/35,120
  6. Step 6: Final answer
    x = 27,898.08

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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.