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Finding the Fourth Proportional to 51,496.52, 77,288.52 and 20,353.64

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Solution

The fourth proportional to 51,496.52, 77,288.52 and 20,353.64 is: 30,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,496.52 : 77,288.52 = 20,353.64 : x
  2. Step 2: Convert to fraction form
    51,496.52/77,288.52 = 20,353.64/x
  3. Step 3: Cross multiply
    51,496.52x = 77,288.52 × 20,353.64
  4. Step 4: Simplify right side
    51,496.52x = 1,573,102,712.21
  5. Step 5: Solve for x
    x = 1,573,102,712.21/51,496.52
  6. Step 6: Final answer
    x = 30,547.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.