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Finding the Fourth Proportional to 55,094.82, 82,642.24 and 17,655.20

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Solution

The fourth proportional to 55,094.82, 82,642.24 and 17,655.20 is: 26,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,094.82 : 82,642.24 = 17,655.20 : x
  2. Step 2: Convert to fraction form
    55,094.82/82,642.24 = 17,655.20/x
  3. Step 3: Cross multiply
    55,094.82x = 82,642.24 × 17,655.20
  4. Step 4: Simplify right side
    55,094.82x = 1,459,065,275.65
  5. Step 5: Solve for x
    x = 1,459,065,275.65/55,094.82
  6. Step 6: Final answer
    x = 26,482.80

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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.