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Finding the Fourth Proportional to 53,018, 79,527.48 and 16,082

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Solution

The fourth proportional to 53,018, 79,527.48 and 16,082 is: 24,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018 : 79,527.48 = 16,082 : x
  2. Step 2: Convert to fraction form
    53,018/79,527.48 = 16,082/x
  3. Step 3: Cross multiply
    53,018x = 79,527.48 × 16,082
  4. Step 4: Simplify right side
    53,018x = 1,278,960,933.36
  5. Step 5: Solve for x
    x = 1,278,960,933.36/53,018
  6. Step 6: Final answer
    x = 24,123.15

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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.