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Finding the Fourth Proportional to 75,225.70, 112,672.16 and 30,717.48

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Solution

The fourth proportional to 75,225.70, 112,672.16 and 30,717.48 is: 46,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225.70 : 112,672.16 = 30,717.48 : x
  2. Step 2: Convert to fraction form
    75,225.70/112,672.16 = 30,717.48/x
  3. Step 3: Cross multiply
    75,225.70x = 112,672.16 × 30,717.48
  4. Step 4: Simplify right side
    75,225.70x = 3,461,004,821.36
  5. Step 5: Solve for x
    x = 3,461,004,821.36/75,225.70
  6. Step 6: Final answer
    x = 46,008.28

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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.