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Finding the Fourth Proportional to 76,641.30, 105,763.32 and 42,648.48

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Solution

The fourth proportional to 76,641.30, 105,763.32 and 42,648.48 is: 58,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641.30 : 105,763.32 = 42,648.48 : x
  2. Step 2: Convert to fraction form
    76,641.30/105,763.32 = 42,648.48/x
  3. Step 3: Cross multiply
    76,641.30x = 105,763.32 × 42,648.48
  4. Step 4: Simplify right side
    76,641.30x = 4,510,644,837.75
  5. Step 5: Solve for x
    x = 4,510,644,837.75/76,641.30
  6. Step 6: Final answer
    x = 58,853.97

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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.