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Finding the Fourth Proportional to 46,611.96, 64,326.06 and 27,746.52

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Solution

The fourth proportional to 46,611.96, 64,326.06 and 27,746.52 is: 38,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,611.96 : 64,326.06 = 27,746.52 : x
  2. Step 2: Convert to fraction form
    46,611.96/64,326.06 = 27,746.52/x
  3. Step 3: Cross multiply
    46,611.96x = 64,326.06 × 27,746.52
  4. Step 4: Simplify right side
    46,611.96x = 1,784,824,310.31
  5. Step 5: Solve for x
    x = 1,784,824,310.31/46,611.96
  6. Step 6: Final answer
    x = 38,291.12

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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.