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Finding the Fourth Proportional to 105,775.98, 145,945.82 and 59,836.68

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Solution

The fourth proportional to 105,775.98, 145,945.82 and 59,836.68 is: 82,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.98 : 145,945.82 = 59,836.68 : x
  2. Step 2: Convert to fraction form
    105,775.98/145,945.82 = 59,836.68/x
  3. Step 3: Cross multiply
    105,775.98x = 145,945.82 × 59,836.68
  4. Step 4: Simplify right side
    105,775.98x = 8,732,913,029.49
  5. Step 5: Solve for x
    x = 8,732,913,029.49/105,775.98
  6. Step 6: Final answer
    x = 82,560.45

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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.