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Finding the Fourth Proportional to 55,758, 83,649.96 and 18,822

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Solution

The fourth proportional to 55,758, 83,649.96 and 18,822 is: 28,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758 : 83,649.96 = 18,822 : x
  2. Step 2: Convert to fraction form
    55,758/83,649.96 = 18,822/x
  3. Step 3: Cross multiply
    55,758x = 83,649.96 × 18,822
  4. Step 4: Simplify right side
    55,758x = 1,574,459,547.12
  5. Step 5: Solve for x
    x = 1,574,459,547.12/55,758
  6. Step 6: Final answer
    x = 28,237.37

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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.