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Finding the Fourth Proportional to 37,352, 51,546.86 and 20,586.08

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Solution

The fourth proportional to 37,352, 51,546.86 and 20,586.08 is: 28,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,352 : 51,546.86 = 20,586.08 : x
  2. Step 2: Convert to fraction form
    37,352/51,546.86 = 20,586.08/x
  3. Step 3: Cross multiply
    37,352x = 51,546.86 × 20,586.08
  4. Step 4: Simplify right side
    37,352x = 1,061,147,783.71
  5. Step 5: Solve for x
    x = 1,061,147,783.71/37,352
  6. Step 6: Final answer
    x = 28,409.40

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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.