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Finding the Fourth Proportional to 105,150.33, 145,105.50 and 59,827.32

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Solution

The fourth proportional to 105,150.33, 145,105.50 and 59,827.32 is: 82,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,150.33 : 145,105.50 = 59,827.32 : x
  2. Step 2: Convert to fraction form
    105,150.33/145,105.50 = 59,827.32/x
  3. Step 3: Cross multiply
    105,150.33x = 145,105.50 × 59,827.32
  4. Step 4: Simplify right side
    105,150.33x = 8,681,273,182.26
  5. Step 5: Solve for x
    x = 8,681,273,182.26/105,150.33
  6. Step 6: Final answer
    x = 82,560.59

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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.