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Finding the Fourth Proportional to 46,877.94, 64,692 and 25,657.63

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Solution

The fourth proportional to 46,877.94, 64,692 and 25,657.63 is: 35,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,877.94 : 64,692 = 25,657.63 : x
  2. Step 2: Convert to fraction form
    46,877.94/64,692 = 25,657.63/x
  3. Step 3: Cross multiply
    46,877.94x = 64,692 × 25,657.63
  4. Step 4: Simplify right side
    46,877.94x = 1,659,843,238.23
  5. Step 5: Solve for x
    x = 1,659,843,238.23/46,877.94
  6. Step 6: Final answer
    x = 35,407.77

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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.