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Finding the Fourth Proportional to 52,880.14, 72,974.64 and 29,007.28

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Solution

The fourth proportional to 52,880.14, 72,974.64 and 29,007.28 is: 40,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880.14 : 72,974.64 = 29,007.28 : x
  2. Step 2: Convert to fraction form
    52,880.14/72,974.64 = 29,007.28/x
  3. Step 3: Cross multiply
    52,880.14x = 72,974.64 × 29,007.28
  4. Step 4: Simplify right side
    52,880.14x = 2,116,795,815.38
  5. Step 5: Solve for x
    x = 2,116,795,815.38/52,880.14
  6. Step 6: Final answer
    x = 40,030.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.