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Finding the Fourth Proportional to 75,953.98, 113,930.53 and 30,975.16

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Solution

The fourth proportional to 75,953.98, 113,930.53 and 30,975.16 is: 46,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953.98 : 113,930.53 = 30,975.16 : x
  2. Step 2: Convert to fraction form
    75,953.98/113,930.53 = 30,975.16/x
  3. Step 3: Cross multiply
    75,953.98x = 113,930.53 × 30,975.16
  4. Step 4: Simplify right side
    75,953.98x = 3,529,016,395.63
  5. Step 5: Solve for x
    x = 3,529,016,395.63/75,953.98
  6. Step 6: Final answer
    x = 46,462.56

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1.5x scale

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.