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Finding the Fourth Proportional to 37,842.56, 56,763.84 and 11,547.44

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Solution

The fourth proportional to 37,842.56, 56,763.84 and 11,547.44 is: 17,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.56 : 56,763.84 = 11,547.44 : x
  2. Step 2: Convert to fraction form
    37,842.56/56,763.84 = 11,547.44/x
  3. Step 3: Cross multiply
    37,842.56x = 56,763.84 × 11,547.44
  4. Step 4: Simplify right side
    37,842.56x = 655,477,036.57
  5. Step 5: Solve for x
    x = 655,477,036.57/37,842.56
  6. Step 6: Final answer
    x = 17,321.16

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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.