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Finding the Fourth Proportional to 35,047, 48,369.32 and 23,135.14

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Solution

The fourth proportional to 35,047, 48,369.32 and 23,135.14 is: 31,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047 : 48,369.32 = 23,135.14 : x
  2. Step 2: Convert to fraction form
    35,047/48,369.32 = 23,135.14/x
  3. Step 3: Cross multiply
    35,047x = 48,369.32 × 23,135.14
  4. Step 4: Simplify right side
    35,047x = 1,119,030,874.23
  5. Step 5: Solve for x
    x = 1,119,030,874.23/35,047
  6. Step 6: Final answer
    x = 31,929.43

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1.5x scale

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.