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Finding the Fourth Proportional to 113,780.50, 170,670.75 and 30,674.50

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Solution

The fourth proportional to 113,780.50, 170,670.75 and 30,674.50 is: 46,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,780.50 : 170,670.75 = 30,674.50 : x
  2. Step 2: Convert to fraction form
    113,780.50/170,670.75 = 30,674.50/x
  3. Step 3: Cross multiply
    113,780.50x = 170,670.75 × 30,674.50
  4. Step 4: Simplify right side
    113,780.50x = 5,235,239,920.88
  5. Step 5: Solve for x
    x = 5,235,239,920.88/113,780.50
  6. Step 6: Final answer
    x = 46,011.75

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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.