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Finding the Fourth Proportional to 37,762.16, 56,636.28 and 17,494.16

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Solution

The fourth proportional to 37,762.16, 56,636.28 and 17,494.16 is: 26,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.16 : 56,636.28 = 17,494.16 : x
  2. Step 2: Convert to fraction form
    37,762.16/56,636.28 = 17,494.16/x
  3. Step 3: Cross multiply
    37,762.16x = 56,636.28 × 17,494.16
  4. Step 4: Simplify right side
    37,762.16x = 990,804,144.12
  5. Step 5: Solve for x
    x = 990,804,144.12/37,762.16
  6. Step 6: Final answer
    x = 26,238.02

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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.