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Finding the Fourth Proportional to 46,458.51, 64,122.08 and 27,591.99

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Solution

The fourth proportional to 46,458.51, 64,122.08 and 27,591.99 is: 38,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,458.51 : 64,122.08 = 27,591.99 : x
  2. Step 2: Convert to fraction form
    46,458.51/64,122.08 = 27,591.99/x
  3. Step 3: Cross multiply
    46,458.51x = 64,122.08 × 27,591.99
  4. Step 4: Simplify right side
    46,458.51x = 1,769,255,790.14
  5. Step 5: Solve for x
    x = 1,769,255,790.14/46,458.51
  6. Step 6: Final answer
    x = 38,082.49

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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.