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Finding the Fourth Proportional to 34,553, 47,683.14 and 20,406.08

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Solution

The fourth proportional to 34,553, 47,683.14 and 20,406.08 is: 28,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,553 : 47,683.14 = 20,406.08 : x
  2. Step 2: Convert to fraction form
    34,553/47,683.14 = 20,406.08/x
  3. Step 3: Cross multiply
    34,553x = 47,683.14 × 20,406.08
  4. Step 4: Simplify right side
    34,553x = 973,025,969.49
  5. Step 5: Solve for x
    x = 973,025,969.49/34,553
  6. Step 6: Final answer
    x = 28,160.39

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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.