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Finding the Fourth Proportional to 46,655.56, 64,385.34 and 25,434.80

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Solution

The fourth proportional to 46,655.56, 64,385.34 and 25,434.80 is: 35,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,655.56 : 64,385.34 = 25,434.80 : x
  2. Step 2: Convert to fraction form
    46,655.56/64,385.34 = 25,434.80/x
  3. Step 3: Cross multiply
    46,655.56x = 64,385.34 × 25,434.80
  4. Step 4: Simplify right side
    46,655.56x = 1,637,628,245.83
  5. Step 5: Solve for x
    x = 1,637,628,245.83/46,655.56
  6. Step 6: Final answer
    x = 35,100.39

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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.