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Finding the Fourth Proportional to 105,586.78, 158,385.04 and 39,014.50

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Solution

The fourth proportional to 105,586.78, 158,385.04 and 39,014.50 is: 58,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,586.78 : 158,385.04 = 39,014.50 : x
  2. Step 2: Convert to fraction form
    105,586.78/158,385.04 = 39,014.50/x
  3. Step 3: Cross multiply
    105,586.78x = 158,385.04 × 39,014.50
  4. Step 4: Simplify right side
    105,586.78x = 6,179,312,948.01
  5. Step 5: Solve for x
    x = 6,179,312,948.01/105,586.78
  6. Step 6: Final answer
    x = 58,523.55

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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.