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Finding the Fourth Proportional to 83,082.36, 114,649.32 and 45,349.32

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Solution

The fourth proportional to 83,082.36, 114,649.32 and 45,349.32 is: 62,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.36 : 114,649.32 = 45,349.32 : x
  2. Step 2: Convert to fraction form
    83,082.36/114,649.32 = 45,349.32/x
  3. Step 3: Cross multiply
    83,082.36x = 114,649.32 × 45,349.32
  4. Step 4: Simplify right side
    83,082.36x = 5,199,268,700.46
  5. Step 5: Solve for x
    x = 5,199,268,700.46/83,082.36
  6. Step 6: Final answer
    x = 62,579.69

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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.