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Finding the Fourth Proportional to 82,613.70, 114,025.14 and 54,322.02

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Solution

The fourth proportional to 82,613.70, 114,025.14 and 54,322.02 is: 74,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,613.70 : 114,025.14 = 54,322.02 : x
  2. Step 2: Convert to fraction form
    82,613.70/114,025.14 = 54,322.02/x
  3. Step 3: Cross multiply
    82,613.70x = 114,025.14 × 54,322.02
  4. Step 4: Simplify right side
    82,613.70x = 6,194,075,935.58
  5. Step 5: Solve for x
    x = 6,194,075,935.58/82,613.70
  6. Step 6: Final answer
    x = 74,976.38

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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.