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Finding the Fourth Proportional to 57,783, 86,674.52 and 16,230

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Solution

The fourth proportional to 57,783, 86,674.52 and 16,230 is: 24,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783 : 86,674.52 = 16,230 : x
  2. Step 2: Convert to fraction form
    57,783/86,674.52 = 16,230/x
  3. Step 3: Cross multiply
    57,783x = 86,674.52 × 16,230
  4. Step 4: Simplify right side
    57,783x = 1,406,727,459.60
  5. Step 5: Solve for x
    x = 1,406,727,459.60/57,783
  6. Step 6: Final answer
    x = 24,345.01

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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.