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Finding the Fourth Proportional to 47,858.40, 71,802.90 and 14,584.80

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Solution

The fourth proportional to 47,858.40, 71,802.90 and 14,584.80 is: 21,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,858.40 : 71,802.90 = 14,584.80 : x
  2. Step 2: Convert to fraction form
    47,858.40/71,802.90 = 14,584.80/x
  3. Step 3: Cross multiply
    47,858.40x = 71,802.90 × 14,584.80
  4. Step 4: Simplify right side
    47,858.40x = 1,047,230,935.92
  5. Step 5: Solve for x
    x = 1,047,230,935.92/47,858.40
  6. Step 6: Final answer
    x = 21,881.86

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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.