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Finding the Fourth Proportional to 83,024, 114,573.12 and 53,216

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Solution

The fourth proportional to 83,024, 114,573.12 and 53,216 is: 73,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024 : 114,573.12 = 53,216 : x
  2. Step 2: Convert to fraction form
    83,024/114,573.12 = 53,216/x
  3. Step 3: Cross multiply
    83,024x = 114,573.12 × 53,216
  4. Step 4: Simplify right side
    83,024x = 6,097,123,153.92
  5. Step 5: Solve for x
    x = 6,097,123,153.92/83,024
  6. Step 6: Final answer
    x = 73,438.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.