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Finding the Fourth Proportional to 74,752, 103,157.76 and 41,218.24

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Solution

The fourth proportional to 74,752, 103,157.76 and 41,218.24 is: 56,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,752 : 103,157.76 = 41,218.24 : x
  2. Step 2: Convert to fraction form
    74,752/103,157.76 = 41,218.24/x
  3. Step 3: Cross multiply
    74,752x = 103,157.76 × 41,218.24
  4. Step 4: Simplify right side
    74,752x = 4,251,981,309.54
  5. Step 5: Solve for x
    x = 4,251,981,309.54/74,752
  6. Step 6: Final answer
    x = 56,881.17

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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.