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Finding the Fourth Proportional to 46,876.96, 64,692 and 25,658.08

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Solution

The fourth proportional to 46,876.96, 64,692 and 25,658.08 is: 35,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,876.96 : 64,692 = 25,658.08 : x
  2. Step 2: Convert to fraction form
    46,876.96/64,692 = 25,658.08/x
  3. Step 3: Cross multiply
    46,876.96x = 64,692 × 25,658.08
  4. Step 4: Simplify right side
    46,876.96x = 1,659,872,511.36
  5. Step 5: Solve for x
    x = 1,659,872,511.36/46,876.96
  6. Step 6: Final answer
    x = 35,409.13

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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.