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Finding the Fourth Proportional to 36,058.10, 49,710.13 and 31,075.38

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Solution

The fourth proportional to 36,058.10, 49,710.13 and 31,075.38 is: 42,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,058.10 : 49,710.13 = 31,075.38 : x
  2. Step 2: Convert to fraction form
    36,058.10/49,710.13 = 31,075.38/x
  3. Step 3: Cross multiply
    36,058.10x = 49,710.13 × 31,075.38
  4. Step 4: Simplify right side
    36,058.10x = 1,544,761,101.91
  5. Step 5: Solve for x
    x = 1,544,761,101.91/36,058.10
  6. Step 6: Final answer
    x = 42,840.90

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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.