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Finding the Fourth Proportional to 45,685.50, 68,538.33 and 19,412.70

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Solution

The fourth proportional to 45,685.50, 68,538.33 and 19,412.70 is: 29,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,685.50 : 68,538.33 = 19,412.70 : x
  2. Step 2: Convert to fraction form
    45,685.50/68,538.33 = 19,412.70/x
  3. Step 3: Cross multiply
    45,685.50x = 68,538.33 × 19,412.70
  4. Step 4: Simplify right side
    45,685.50x = 1,330,514,038.79
  5. Step 5: Solve for x
    x = 1,330,514,038.79/45,685.50
  6. Step 6: Final answer
    x = 29,123.33

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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.