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Finding the Fourth Proportional to 36,499, 54,752 and 16,783.08

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Solution

The fourth proportional to 36,499, 54,752 and 16,783.08 is: 25,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,499 : 54,752 = 16,783.08 : x
  2. Step 2: Convert to fraction form
    36,499/54,752 = 16,783.08/x
  3. Step 3: Cross multiply
    36,499x = 54,752 × 16,783.08
  4. Step 4: Simplify right side
    36,499x = 918,907,196.16
  5. Step 5: Solve for x
    x = 918,907,196.16/36,499
  6. Step 6: Final answer
    x = 25,176.23

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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.