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Finding the Fourth Proportional to 57,416.52, 86,078.31 and 17,953.32

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Solution

The fourth proportional to 57,416.52, 86,078.31 and 17,953.32 is: 26,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,416.52 : 86,078.31 = 17,953.32 : x
  2. Step 2: Convert to fraction form
    57,416.52/86,078.31 = 17,953.32/x
  3. Step 3: Cross multiply
    57,416.52x = 86,078.31 × 17,953.32
  4. Step 4: Simplify right side
    57,416.52x = 1,545,391,444.49
  5. Step 5: Solve for x
    x = 1,545,391,444.49/57,416.52
  6. Step 6: Final answer
    x = 26,915.45

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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.