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Finding the Fourth Proportional to 47,424.96, 71,128.80 and 21,124.80

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Solution

The fourth proportional to 47,424.96, 71,128.80 and 21,124.80 is: 31,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424.96 : 71,128.80 = 21,124.80 : x
  2. Step 2: Convert to fraction form
    47,424.96/71,128.80 = 21,124.80/x
  3. Step 3: Cross multiply
    47,424.96x = 71,128.80 × 21,124.80
  4. Step 4: Simplify right side
    47,424.96x = 1,502,581,674.24
  5. Step 5: Solve for x
    x = 1,502,581,674.24/47,424.96
  6. Step 6: Final answer
    x = 31,683.35

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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.