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Finding the Fourth Proportional to 36,983, 51,037.62 and 20,217.08

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Solution

The fourth proportional to 36,983, 51,037.62 and 20,217.08 is: 27,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,983 : 51,037.62 = 20,217.08 : x
  2. Step 2: Convert to fraction form
    36,983/51,037.62 = 20,217.08/x
  3. Step 3: Cross multiply
    36,983x = 51,037.62 × 20,217.08
  4. Step 4: Simplify right side
    36,983x = 1,031,831,646.55
  5. Step 5: Solve for x
    x = 1,031,831,646.55/36,983
  6. Step 6: Final answer
    x = 27,900.16

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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.