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Finding the Fourth Proportional to 49,572, 68,409.36 and 27,216

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Solution

The fourth proportional to 49,572, 68,409.36 and 27,216 is: 37,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572 : 68,409.36 = 27,216 : x
  2. Step 2: Convert to fraction form
    49,572/68,409.36 = 27,216/x
  3. Step 3: Cross multiply
    49,572x = 68,409.36 × 27,216
  4. Step 4: Simplify right side
    49,572x = 1,861,829,141.76
  5. Step 5: Solve for x
    x = 1,861,829,141.76/49,572
  6. Step 6: Final answer
    x = 37,558.08

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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.