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Finding the Fourth Proportional to 19,615.50, 29,423.25 and 5,023.50

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Solution

The fourth proportional to 19,615.50, 29,423.25 and 5,023.50 is: 7,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.50 : 29,423.25 = 5,023.50 : x
  2. Step 2: Convert to fraction form
    19,615.50/29,423.25 = 5,023.50/x
  3. Step 3: Cross multiply
    19,615.50x = 29,423.25 × 5,023.50
  4. Step 4: Simplify right side
    19,615.50x = 147,807,696.38
  5. Step 5: Solve for x
    x = 147,807,696.38/19,615.50
  6. Step 6: Final answer
    x = 7,535.25

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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.