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Finding the Fourth Proportional to 46,606.70, 64,320.28 and 27,741.26

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Solution

The fourth proportional to 46,606.70, 64,320.28 and 27,741.26 is: 38,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,606.70 : 64,320.28 = 27,741.26 : x
  2. Step 2: Convert to fraction form
    46,606.70/64,320.28 = 27,741.26/x
  3. Step 3: Cross multiply
    46,606.70x = 64,320.28 × 27,741.26
  4. Step 4: Simplify right side
    46,606.70x = 1,784,325,610.75
  5. Step 5: Solve for x
    x = 1,784,325,610.75/46,606.70
  6. Step 6: Final answer
    x = 38,284.74

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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.