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Finding the Fourth Proportional to 101,486.48, 152,244.28 and 31,371.24

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Solution

The fourth proportional to 101,486.48, 152,244.28 and 31,371.24 is: 47,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,486.48 : 152,244.28 = 31,371.24 : x
  2. Step 2: Convert to fraction form
    101,486.48/152,244.28 = 31,371.24/x
  3. Step 3: Cross multiply
    101,486.48x = 152,244.28 × 31,371.24
  4. Step 4: Simplify right side
    101,486.48x = 4,776,091,846.51
  5. Step 5: Solve for x
    x = 4,776,091,846.51/101,486.48
  6. Step 6: Final answer
    x = 47,061.36

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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.