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Finding the Fourth Proportional to 101,725.50, 152,588.28 and 31,604.82

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Solution

The fourth proportional to 101,725.50, 152,588.28 and 31,604.82 is: 47,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,725.50 : 152,588.28 = 31,604.82 : x
  2. Step 2: Convert to fraction form
    101,725.50/152,588.28 = 31,604.82/x
  3. Step 3: Cross multiply
    101,725.50x = 152,588.28 × 31,604.82
  4. Step 4: Simplify right side
    101,725.50x = 4,822,525,123.51
  5. Step 5: Solve for x
    x = 4,822,525,123.51/101,725.50
  6. Step 6: Final answer
    x = 47,407.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.