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Finding the Fourth Proportional to 46,953.86, 64,797.96 and 25,733.12

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Solution

The fourth proportional to 46,953.86, 64,797.96 and 25,733.12 is: 35,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,953.86 : 64,797.96 = 25,733.12 : x
  2. Step 2: Convert to fraction form
    46,953.86/64,797.96 = 25,733.12/x
  3. Step 3: Cross multiply
    46,953.86x = 64,797.96 × 25,733.12
  4. Step 4: Simplify right side
    46,953.86x = 1,667,453,356.45
  5. Step 5: Solve for x
    x = 1,667,453,356.45/46,953.86
  6. Step 6: Final answer
    x = 35,512.60

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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.