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Finding the Fourth Proportional to 75,703.80, 113,573.48 and 23,113.32

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Solution

The fourth proportional to 75,703.80, 113,573.48 and 23,113.32 is: 34,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,703.80 : 113,573.48 = 23,113.32 : x
  2. Step 2: Convert to fraction form
    75,703.80/113,573.48 = 23,113.32/x
  3. Step 3: Cross multiply
    75,703.80x = 113,573.48 × 23,113.32
  4. Step 4: Simplify right side
    75,703.80x = 2,625,060,186.75
  5. Step 5: Solve for x
    x = 2,625,060,186.75/75,703.80
  6. Step 6: Final answer
    x = 34,675.41

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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.