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Finding the Fourth Proportional to 37,309.95, 51,486.01 and 20,314.14

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Solution

The fourth proportional to 37,309.95, 51,486.01 and 20,314.14 is: 28,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.95 : 51,486.01 = 20,314.14 : x
  2. Step 2: Convert to fraction form
    37,309.95/51,486.01 = 20,314.14/x
  3. Step 3: Cross multiply
    37,309.95x = 51,486.01 × 20,314.14
  4. Step 4: Simplify right side
    37,309.95x = 1,045,894,320.00
  5. Step 5: Solve for x
    x = 1,045,894,320.00/37,309.95
  6. Step 6: Final answer
    x = 28,032.58

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1.5x scale

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.