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Finding the Fourth Proportional to 105,773.58, 145,965.04 and 58,026.51

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Solution

The fourth proportional to 105,773.58, 145,965.04 and 58,026.51 is: 80,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,773.58 : 145,965.04 = 58,026.51 : x
  2. Step 2: Convert to fraction form
    105,773.58/145,965.04 = 58,026.51/x
  3. Step 3: Cross multiply
    105,773.58x = 145,965.04 × 58,026.51
  4. Step 4: Simplify right side
    105,773.58x = 8,469,841,708.14
  5. Step 5: Solve for x
    x = 8,469,841,708.14/105,773.58
  6. Step 6: Final answer
    x = 80,075.21

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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.