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Finding the Fourth Proportional to 37,047.16, 51,129.66 and 27,599.32

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Solution

The fourth proportional to 37,047.16, 51,129.66 and 27,599.32 is: 38,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.16 : 51,129.66 = 27,599.32 : x
  2. Step 2: Convert to fraction form
    37,047.16/51,129.66 = 27,599.32/x
  3. Step 3: Cross multiply
    37,047.16x = 51,129.66 × 27,599.32
  4. Step 4: Simplify right side
    37,047.16x = 1,411,143,847.83
  5. Step 5: Solve for x
    x = 1,411,143,847.83/37,047.16
  6. Step 6: Final answer
    x = 38,090.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.