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Finding the Fourth Proportional to 57,864.56, 86,798.28 and 16,310

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Solution

The fourth proportional to 57,864.56, 86,798.28 and 16,310 is: 24,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864.56 : 86,798.28 = 16,310 : x
  2. Step 2: Convert to fraction form
    57,864.56/86,798.28 = 16,310/x
  3. Step 3: Cross multiply
    57,864.56x = 86,798.28 × 16,310
  4. Step 4: Simplify right side
    57,864.56x = 1,415,679,946.80
  5. Step 5: Solve for x
    x = 1,415,679,946.80/57,864.56
  6. Step 6: Final answer
    x = 24,465.41

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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.