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Finding the Fourth Proportional to 101,564.94, 152,347.22 and 30,487.50

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Solution

The fourth proportional to 101,564.94, 152,347.22 and 30,487.50 is: 45,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564.94 : 152,347.22 = 30,487.50 : x
  2. Step 2: Convert to fraction form
    101,564.94/152,347.22 = 30,487.50/x
  3. Step 3: Cross multiply
    101,564.94x = 152,347.22 × 30,487.50
  4. Step 4: Simplify right side
    101,564.94x = 4,644,686,174.40
  5. Step 5: Solve for x
    x = 4,644,686,174.40/101,564.94
  6. Step 6: Final answer
    x = 45,731.20

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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.