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Finding the Fourth Proportional to 46,527.60, 64,217.37 and 27,661.08

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Solution

The fourth proportional to 46,527.60, 64,217.37 and 27,661.08 is: 38,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,527.60 : 64,217.37 = 27,661.08 : x
  2. Step 2: Convert to fraction form
    46,527.60/64,217.37 = 27,661.08/x
  3. Step 3: Cross multiply
    46,527.60x = 64,217.37 × 27,661.08
  4. Step 4: Simplify right side
    46,527.60x = 1,776,321,808.96
  5. Step 5: Solve for x
    x = 1,776,321,808.96/46,527.60
  6. Step 6: Final answer
    x = 38,177.81

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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.