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Finding the Fourth Proportional to 35,142.16, 52,719.64 and 16,674

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Solution

The fourth proportional to 35,142.16, 52,719.64 and 16,674 is: 25,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.16 : 52,719.64 = 16,674 : x
  2. Step 2: Convert to fraction form
    35,142.16/52,719.64 = 16,674/x
  3. Step 3: Cross multiply
    35,142.16x = 52,719.64 × 16,674
  4. Step 4: Simplify right side
    35,142.16x = 879,047,277.36
  5. Step 5: Solve for x
    x = 879,047,277.36/35,142.16
  6. Step 6: Final answer
    x = 25,014.04

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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.