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Finding the Fourth Proportional to 46,898.88, 64,721.92 and 25,680.16

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Solution

The fourth proportional to 46,898.88, 64,721.92 and 25,680.16 is: 35,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898.88 : 64,721.92 = 25,680.16 : x
  2. Step 2: Convert to fraction form
    46,898.88/64,721.92 = 25,680.16/x
  3. Step 3: Cross multiply
    46,898.88x = 64,721.92 × 25,680.16
  4. Step 4: Simplify right side
    46,898.88x = 1,662,069,261.11
  5. Step 5: Solve for x
    x = 1,662,069,261.11/46,898.88
  6. Step 6: Final answer
    x = 35,439.42

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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.