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Finding the Fourth Proportional to 102,190.52, 153,285.50 and 32,075.08

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Solution

The fourth proportional to 102,190.52, 153,285.50 and 32,075.08 is: 48,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,190.52 : 153,285.50 = 32,075.08 : x
  2. Step 2: Convert to fraction form
    102,190.52/153,285.50 = 32,075.08/x
  3. Step 3: Cross multiply
    102,190.52x = 153,285.50 × 32,075.08
  4. Step 4: Simplify right side
    102,190.52x = 4,916,644,675.34
  5. Step 5: Solve for x
    x = 4,916,644,675.34/102,190.52
  6. Step 6: Final answer
    x = 48,112.53

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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.