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Finding the Fourth Proportional to 46,314, 63,920.61 and 27,447.48

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Solution

The fourth proportional to 46,314, 63,920.61 and 27,447.48 is: 37,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314 : 63,920.61 = 27,447.48 : x
  2. Step 2: Convert to fraction form
    46,314/63,920.61 = 27,447.48/x
  3. Step 3: Cross multiply
    46,314x = 63,920.61 × 27,447.48
  4. Step 4: Simplify right side
    46,314x = 1,754,459,664.56
  5. Step 5: Solve for x
    x = 1,754,459,664.56/46,314
  6. Step 6: Final answer
    x = 37,881.84

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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.