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Finding the Fourth Proportional to 52,182, 72,011.16 and 29,520.54

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Solution

The fourth proportional to 52,182, 72,011.16 and 29,520.54 is: 40,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,182 : 72,011.16 = 29,520.54 : x
  2. Step 2: Convert to fraction form
    52,182/72,011.16 = 29,520.54/x
  3. Step 3: Cross multiply
    52,182x = 72,011.16 × 29,520.54
  4. Step 4: Simplify right side
    52,182x = 2,125,808,329.23
  5. Step 5: Solve for x
    x = 2,125,808,329.23/52,182
  6. Step 6: Final answer
    x = 40,738.35

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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.