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Finding the Fourth Proportional to 36,547.32, 50,435.34 and 19,780.28

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Solution

The fourth proportional to 36,547.32, 50,435.34 and 19,780.28 is: 27,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.32 : 50,435.34 = 19,780.28 : x
  2. Step 2: Convert to fraction form
    36,547.32/50,435.34 = 19,780.28/x
  3. Step 3: Cross multiply
    36,547.32x = 50,435.34 × 19,780.28
  4. Step 4: Simplify right side
    36,547.32x = 997,625,147.10
  5. Step 5: Solve for x
    x = 997,625,147.10/36,547.32
  6. Step 6: Final answer
    x = 27,296.81

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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.