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Finding the Fourth Proportional to 25,107.36, 37,477.64 and 23,280

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Solution

The fourth proportional to 25,107.36, 37,477.64 and 23,280 is: 34,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.36 : 37,477.64 = 23,280 : x
  2. Step 2: Convert to fraction form
    25,107.36/37,477.64 = 23,280/x
  3. Step 3: Cross multiply
    25,107.36x = 37,477.64 × 23,280
  4. Step 4: Simplify right side
    25,107.36x = 872,479,459.20
  5. Step 5: Solve for x
    x = 872,479,459.20/25,107.36
  6. Step 6: Final answer
    x = 34,749.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.