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Finding the Fourth Proportional to 75,296.64, 103,896 and 46,997.76

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Solution

The fourth proportional to 75,296.64, 103,896 and 46,997.76 is: 64,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.64 : 103,896 = 46,997.76 : x
  2. Step 2: Convert to fraction form
    75,296.64/103,896 = 46,997.76/x
  3. Step 3: Cross multiply
    75,296.64x = 103,896 × 46,997.76
  4. Step 4: Simplify right side
    75,296.64x = 4,882,879,272.96
  5. Step 5: Solve for x
    x = 4,882,879,272.96/75,296.64
  6. Step 6: Final answer
    x = 64,848.57

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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.