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Finding the Fourth Proportional to 51,886.68, 71,538.12 and 33,953.28

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Solution

The fourth proportional to 51,886.68, 71,538.12 and 33,953.28 is: 46,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,886.68 : 71,538.12 = 33,953.28 : x
  2. Step 2: Convert to fraction form
    51,886.68/71,538.12 = 33,953.28/x
  3. Step 3: Cross multiply
    51,886.68x = 71,538.12 × 33,953.28
  4. Step 4: Simplify right side
    51,886.68x = 2,428,953,819.03
  5. Step 5: Solve for x
    x = 2,428,953,819.03/51,886.68
  6. Step 6: Final answer
    x = 46,812.67

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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.