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Finding the Fourth Proportional to 37,846.44, 56,775.15 and 11,547.77

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Solution

The fourth proportional to 37,846.44, 56,775.15 and 11,547.77 is: 17,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.44 : 56,775.15 = 11,547.77 : x
  2. Step 2: Convert to fraction form
    37,846.44/56,775.15 = 11,547.77/x
  3. Step 3: Cross multiply
    37,846.44x = 56,775.15 × 11,547.77
  4. Step 4: Simplify right side
    37,846.44x = 655,626,090.04
  5. Step 5: Solve for x
    x = 655,626,090.04/37,846.44
  6. Step 6: Final answer
    x = 17,323.32

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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.