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Finding the Fourth Proportional to 29,125, 43,703.34 and 11,594.80

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Solution

The fourth proportional to 29,125, 43,703.34 and 11,594.80 is: 17,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,125 : 43,703.34 = 11,594.80 : x
  2. Step 2: Convert to fraction form
    29,125/43,703.34 = 11,594.80/x
  3. Step 3: Cross multiply
    29,125x = 43,703.34 × 11,594.80
  4. Step 4: Simplify right side
    29,125x = 506,731,486.63
  5. Step 5: Solve for x
    x = 506,731,486.63/29,125
  6. Step 6: Final answer
    x = 17,398.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.