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Finding the Fourth Proportional to 102,190.94, 153,291.87 and 32,075.72

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Solution

The fourth proportional to 102,190.94, 153,291.87 and 32,075.72 is: 48,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,190.94 : 153,291.87 = 32,075.72 : x
  2. Step 2: Convert to fraction form
    102,190.94/153,291.87 = 32,075.72/x
  3. Step 3: Cross multiply
    102,190.94x = 153,291.87 × 32,075.72
  4. Step 4: Simplify right side
    102,190.94x = 4,916,947,100.40
  5. Step 5: Solve for x
    x = 4,916,947,100.40/102,190.94
  6. Step 6: Final answer
    x = 48,115.29

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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.