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Finding the Fourth Proportional to 129,595.74, 194,364.44 and 46,489.74

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Solution

The fourth proportional to 129,595.74, 194,364.44 and 46,489.74 is: 69,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,595.74 : 194,364.44 = 46,489.74 : x
  2. Step 2: Convert to fraction form
    129,595.74/194,364.44 = 46,489.74/x
  3. Step 3: Cross multiply
    129,595.74x = 194,364.44 × 46,489.74
  4. Step 4: Simplify right side
    129,595.74x = 9,035,952,048.40
  5. Step 5: Solve for x
    x = 9,035,952,048.40/129,595.74
  6. Step 6: Final answer
    x = 69,724.14

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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.