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Finding the Fourth Proportional to 27,458.56, 37,892.80 and 14,883.20

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Solution

The fourth proportional to 27,458.56, 37,892.80 and 14,883.20 is: 20,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.56 : 37,892.80 = 14,883.20 : x
  2. Step 2: Convert to fraction form
    27,458.56/37,892.80 = 14,883.20/x
  3. Step 3: Cross multiply
    27,458.56x = 37,892.80 × 14,883.20
  4. Step 4: Simplify right side
    27,458.56x = 563,966,120.96
  5. Step 5: Solve for x
    x = 563,966,120.96/27,458.56
  6. Step 6: Final answer
    x = 20,538.81

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1.5x scale

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.