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Finding the Fourth Proportional to 37,762.49, 52,111.38 and 20,534.48

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Solution

The fourth proportional to 37,762.49, 52,111.38 and 20,534.48 is: 28,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.49 : 52,111.38 = 20,534.48 : x
  2. Step 2: Convert to fraction form
    37,762.49/52,111.38 = 20,534.48/x
  3. Step 3: Cross multiply
    37,762.49x = 52,111.38 × 20,534.48
  4. Step 4: Simplify right side
    37,762.49x = 1,070,080,090.38
  5. Step 5: Solve for x
    x = 1,070,080,090.38/37,762.49
  6. Step 6: Final answer
    x = 28,337.12

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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.