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Finding the Fourth Proportional to 46,506.60, 64,188.36 and 27,640.08

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Solution

The fourth proportional to 46,506.60, 64,188.36 and 27,640.08 is: 38,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.60 : 64,188.36 = 27,640.08 : x
  2. Step 2: Convert to fraction form
    46,506.60/64,188.36 = 27,640.08/x
  3. Step 3: Cross multiply
    46,506.60x = 64,188.36 × 27,640.08
  4. Step 4: Simplify right side
    46,506.60x = 1,774,171,405.47
  5. Step 5: Solve for x
    x = 1,774,171,405.47/46,506.60
  6. Step 6: Final answer
    x = 38,148.81

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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.