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Finding the Fourth Proportional to 75,240.66, 112,744.35 and 30,829.98

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Solution

The fourth proportional to 75,240.66, 112,744.35 and 30,829.98 is: 46,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,240.66 : 112,744.35 = 30,829.98 : x
  2. Step 2: Convert to fraction form
    75,240.66/112,744.35 = 30,829.98/x
  3. Step 3: Cross multiply
    75,240.66x = 112,744.35 × 30,829.98
  4. Step 4: Simplify right side
    75,240.66x = 3,475,906,055.61
  5. Step 5: Solve for x
    x = 3,475,906,055.61/75,240.66
  6. Step 6: Final answer
    x = 46,197.18

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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.