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Finding the Fourth Proportional to 53,698.43, 80,541.47 and 14,258.63

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Solution

The fourth proportional to 53,698.43, 80,541.47 and 14,258.63 is: 21,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.43 : 80,541.47 = 14,258.63 : x
  2. Step 2: Convert to fraction form
    53,698.43/80,541.47 = 14,258.63/x
  3. Step 3: Cross multiply
    53,698.43x = 80,541.47 × 14,258.63
  4. Step 4: Simplify right side
    53,698.43x = 1,148,410,546.39
  5. Step 5: Solve for x
    x = 1,148,410,546.39/53,698.43
  6. Step 6: Final answer
    x = 21,386.30

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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.