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Finding the Fourth Proportional to 58,031.72, 80,054.30 and 37,900.38

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Solution

The fourth proportional to 58,031.72, 80,054.30 and 37,900.38 is: 52,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,031.72 : 80,054.30 = 37,900.38 : x
  2. Step 2: Convert to fraction form
    58,031.72/80,054.30 = 37,900.38/x
  3. Step 3: Cross multiply
    58,031.72x = 80,054.30 × 37,900.38
  4. Step 4: Simplify right side
    58,031.72x = 3,034,088,201.13
  5. Step 5: Solve for x
    x = 3,034,088,201.13/58,031.72
  6. Step 6: Final answer
    x = 52,283.28

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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.