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Finding the Fourth Proportional to 46,573.28, 64,261.16 and 27,706.72

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Solution

The fourth proportional to 46,573.28, 64,261.16 and 27,706.72 is: 38,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573.28 : 64,261.16 = 27,706.72 : x
  2. Step 2: Convert to fraction form
    46,573.28/64,261.16 = 27,706.72/x
  3. Step 3: Cross multiply
    46,573.28x = 64,261.16 × 27,706.72
  4. Step 4: Simplify right side
    46,573.28x = 1,780,465,967.00
  5. Step 5: Solve for x
    x = 1,780,465,967.00/46,573.28
  6. Step 6: Final answer
    x = 38,229.34

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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.