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Finding the Fourth Proportional to 82,482.77, 123,722.64 and 26,322.44

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Solution

The fourth proportional to 82,482.77, 123,722.64 and 26,322.44 is: 39,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.77 : 123,722.64 = 26,322.44 : x
  2. Step 2: Convert to fraction form
    82,482.77/123,722.64 = 26,322.44/x
  3. Step 3: Cross multiply
    82,482.77x = 123,722.64 × 26,322.44
  4. Step 4: Simplify right side
    82,482.77x = 3,256,681,149.43
  5. Step 5: Solve for x
    x = 3,256,681,149.43/82,482.77
  6. Step 6: Final answer
    x = 39,483.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.