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Finding the Fourth Proportional to 105,586.40, 158,158.80 and 49,474.40

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Solution

The fourth proportional to 105,586.40, 158,158.80 and 49,474.40 is: 74,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,586.40 : 158,158.80 = 49,474.40 : x
  2. Step 2: Convert to fraction form
    105,586.40/158,158.80 = 49,474.40/x
  3. Step 3: Cross multiply
    105,586.40x = 158,158.80 × 49,474.40
  4. Step 4: Simplify right side
    105,586.40x = 7,824,811,734.72
  5. Step 5: Solve for x
    x = 7,824,811,734.72/105,586.40
  6. Step 6: Final answer
    x = 74,108.14

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Why These Related Problems?

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