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Finding the Fourth Proportional to 53,698.74, 80,541.87 and 14,258.94

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Solution

The fourth proportional to 53,698.74, 80,541.87 and 14,258.94 is: 21,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.74 : 80,541.87 = 14,258.94 : x
  2. Step 2: Convert to fraction form
    53,698.74/80,541.87 = 14,258.94/x
  3. Step 3: Cross multiply
    53,698.74x = 80,541.87 × 14,258.94
  4. Step 4: Simplify right side
    53,698.74x = 1,148,441,691.82
  5. Step 5: Solve for x
    x = 1,148,441,691.82/53,698.74
  6. Step 6: Final answer
    x = 21,386.75

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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.