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Finding the Fourth Proportional to 103,011.75, 154,617.27 and 49,741.08

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Solution

The fourth proportional to 103,011.75, 154,617.27 and 49,741.08 is: 74,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,011.75 : 154,617.27 = 49,741.08 : x
  2. Step 2: Convert to fraction form
    103,011.75/154,617.27 = 49,741.08/x
  3. Step 3: Cross multiply
    103,011.75x = 154,617.27 × 49,741.08
  4. Step 4: Simplify right side
    103,011.75x = 7,690,829,996.45
  5. Step 5: Solve for x
    x = 7,690,829,996.45/103,011.75
  6. Step 6: Final answer
    x = 74,659.74

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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.