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Finding the Fourth Proportional to 47,798.82, 65,917.17 and 36,448.38

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Solution

The fourth proportional to 47,798.82, 65,917.17 and 36,448.38 is: 50,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.82 : 65,917.17 = 36,448.38 : x
  2. Step 2: Convert to fraction form
    47,798.82/65,917.17 = 36,448.38/x
  3. Step 3: Cross multiply
    47,798.82x = 65,917.17 × 36,448.38
  4. Step 4: Simplify right side
    47,798.82x = 2,402,574,060.68
  5. Step 5: Solve for x
    x = 2,402,574,060.68/47,798.82
  6. Step 6: Final answer
    x = 50,264.30

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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.