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Finding the Fourth Proportional to 37,290, 51,461.01 and 20,523

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Solution

The fourth proportional to 37,290, 51,461.01 and 20,523 is: 28,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,290 : 51,461.01 = 20,523 : x
  2. Step 2: Convert to fraction form
    37,290/51,461.01 = 20,523/x
  3. Step 3: Cross multiply
    37,290x = 51,461.01 × 20,523
  4. Step 4: Simplify right side
    37,290x = 1,056,134,308.23
  5. Step 5: Solve for x
    x = 1,056,134,308.23/37,290
  6. Step 6: Final answer
    x = 28,322.19

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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.