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Finding the Fourth Proportional to 35,102.16, 48,436.38 and 20,952

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Solution

The fourth proportional to 35,102.16, 48,436.38 and 20,952 is: 28,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.16 : 48,436.38 = 20,952 : x
  2. Step 2: Convert to fraction form
    35,102.16/48,436.38 = 20,952/x
  3. Step 3: Cross multiply
    35,102.16x = 48,436.38 × 20,952
  4. Step 4: Simplify right side
    35,102.16x = 1,014,839,033.76
  5. Step 5: Solve for x
    x = 1,014,839,033.76/35,102.16
  6. Step 6: Final answer
    x = 28,911.01

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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.