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Finding the Fourth Proportional to 105,780.08, 158,670.50 and 26,894.30

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Solution

The fourth proportional to 105,780.08, 158,670.50 and 26,894.30 is: 40,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,780.08 : 158,670.50 = 26,894.30 : x
  2. Step 2: Convert to fraction form
    105,780.08/158,670.50 = 26,894.30/x
  3. Step 3: Cross multiply
    105,780.08x = 158,670.50 × 26,894.30
  4. Step 4: Simplify right side
    105,780.08x = 4,267,332,028.15
  5. Step 5: Solve for x
    x = 4,267,332,028.15/105,780.08
  6. Step 6: Final answer
    x = 40,341.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.