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Finding the Fourth Proportional to 46,512.84, 64,165.16 and 27,636.60

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Solution

The fourth proportional to 46,512.84, 64,165.16 and 27,636.60 is: 38,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512.84 : 64,165.16 = 27,636.60 : x
  2. Step 2: Convert to fraction form
    46,512.84/64,165.16 = 27,636.60/x
  3. Step 3: Cross multiply
    46,512.84x = 64,165.16 × 27,636.60
  4. Step 4: Simplify right side
    46,512.84x = 1,773,306,860.86
  5. Step 5: Solve for x
    x = 1,773,306,860.86/46,512.84
  6. Step 6: Final answer
    x = 38,125.10

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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.