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Finding the Fourth Proportional to 33,547.68, 46,298.22 and 20,118.69

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Solution

The fourth proportional to 33,547.68, 46,298.22 and 20,118.69 is: 27,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.68 : 46,298.22 = 20,118.69 : x
  2. Step 2: Convert to fraction form
    33,547.68/46,298.22 = 20,118.69/x
  3. Step 3: Cross multiply
    33,547.68x = 46,298.22 × 20,118.69
  4. Step 4: Simplify right side
    33,547.68x = 931,459,460.29
  5. Step 5: Solve for x
    x = 931,459,460.29/33,547.68
  6. Step 6: Final answer
    x = 27,765.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.