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Finding the Fourth Proportional to 36,920.56, 55,388.14 and 13,547.20

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Solution

The fourth proportional to 36,920.56, 55,388.14 and 13,547.20 is: 20,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920.56 : 55,388.14 = 13,547.20 : x
  2. Step 2: Convert to fraction form
    36,920.56/55,388.14 = 13,547.20/x
  3. Step 3: Cross multiply
    36,920.56x = 55,388.14 × 13,547.20
  4. Step 4: Simplify right side
    36,920.56x = 750,354,210.21
  5. Step 5: Solve for x
    x = 750,354,210.21/36,920.56
  6. Step 6: Final answer
    x = 20,323.48

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