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Finding the Fourth Proportional to 82,713.87, 114,097.95 and 50,860.22

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Solution

The fourth proportional to 82,713.87, 114,097.95 and 50,860.22 is: 70,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,713.87 : 114,097.95 = 50,860.22 : x
  2. Step 2: Convert to fraction form
    82,713.87/114,097.95 = 50,860.22/x
  3. Step 3: Cross multiply
    82,713.87x = 114,097.95 × 50,860.22
  4. Step 4: Simplify right side
    82,713.87x = 5,803,046,268.06
  5. Step 5: Solve for x
    x = 5,803,046,268.06/82,713.87
  6. Step 6: Final answer
    x = 70,158.08

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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.