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Finding the Fourth Proportional to 105,783.40, 145,982.58 and 58,035.88

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Solution

The fourth proportional to 105,783.40, 145,982.58 and 58,035.88 is: 80,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,783.40 : 145,982.58 = 58,035.88 : x
  2. Step 2: Convert to fraction form
    105,783.40/145,982.58 = 58,035.88/x
  3. Step 3: Cross multiply
    105,783.40x = 145,982.58 × 58,035.88
  4. Step 4: Simplify right side
    105,783.40x = 8,472,227,494.97
  5. Step 5: Solve for x
    x = 8,472,227,494.97/105,783.40
  6. Step 6: Final answer
    x = 80,090.33

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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.