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Finding the Fourth Proportional to 103,441, 142,748.60 and 58,729

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Solution

The fourth proportional to 103,441, 142,748.60 and 58,729 is: 81,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,441 : 142,748.60 = 58,729 : x
  2. Step 2: Convert to fraction form
    103,441/142,748.60 = 58,729/x
  3. Step 3: Cross multiply
    103,441x = 142,748.60 × 58,729
  4. Step 4: Simplify right side
    103,441x = 8,383,482,529.40
  5. Step 5: Solve for x
    x = 8,383,482,529.40/103,441
  6. Step 6: Final answer
    x = 81,046.03

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