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Finding the Fourth Proportional to 37,762.36, 56,863.12 and 27,971.08

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Solution

The fourth proportional to 37,762.36, 56,863.12 and 27,971.08 is: 42,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.36 : 56,863.12 = 27,971.08 : x
  2. Step 2: Convert to fraction form
    37,762.36/56,863.12 = 27,971.08/x
  3. Step 3: Cross multiply
    37,762.36x = 56,863.12 × 27,971.08
  4. Step 4: Simplify right side
    37,762.36x = 1,590,522,878.57
  5. Step 5: Solve for x
    x = 1,590,522,878.57/37,762.36
  6. Step 6: Final answer
    x = 42,119.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.