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Finding the Fourth Proportional to 75,048.46, 103,566.84 and 43,223.50

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Solution

The fourth proportional to 75,048.46, 103,566.84 and 43,223.50 is: 59,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,048.46 : 103,566.84 = 43,223.50 : x
  2. Step 2: Convert to fraction form
    75,048.46/103,566.84 = 43,223.50/x
  3. Step 3: Cross multiply
    75,048.46x = 103,566.84 × 43,223.50
  4. Step 4: Simplify right side
    75,048.46x = 4,476,521,308.74
  5. Step 5: Solve for x
    x = 4,476,521,308.74/75,048.46
  6. Step 6: Final answer
    x = 59,648.41

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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.