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Finding the Fourth Proportional to 27,970.56, 41,978.88 and 14,123.52

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Solution

The fourth proportional to 27,970.56, 41,978.88 and 14,123.52 is: 21,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.56 : 41,978.88 = 14,123.52 : x
  2. Step 2: Convert to fraction form
    27,970.56/41,978.88 = 14,123.52/x
  3. Step 3: Cross multiply
    27,970.56x = 41,978.88 × 14,123.52
  4. Step 4: Simplify right side
    27,970.56x = 592,889,551.26
  5. Step 5: Solve for x
    x = 592,889,551.26/27,970.56
  6. Step 6: Final answer
    x = 21,196.91

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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.