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Finding the Fourth Proportional to 37,645.92, 56,455.68 and 15,453

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Solution

The fourth proportional to 37,645.92, 56,455.68 and 15,453 is: 23,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,645.92 : 56,455.68 = 15,453 : x
  2. Step 2: Convert to fraction form
    37,645.92/56,455.68 = 15,453/x
  3. Step 3: Cross multiply
    37,645.92x = 56,455.68 × 15,453
  4. Step 4: Simplify right side
    37,645.92x = 872,409,623.04
  5. Step 5: Solve for x
    x = 872,409,623.04/37,645.92
  6. Step 6: Final answer
    x = 23,174.08

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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.