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Finding the Fourth Proportional to 89,075.76, 133,577.76 and 32,133.48

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Solution

The fourth proportional to 89,075.76, 133,577.76 and 32,133.48 is: 48,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,075.76 : 133,577.76 = 32,133.48 : x
  2. Step 2: Convert to fraction form
    89,075.76/133,577.76 = 32,133.48/x
  3. Step 3: Cross multiply
    89,075.76x = 133,577.76 × 32,133.48
  4. Step 4: Simplify right side
    89,075.76x = 4,292,318,279.40
  5. Step 5: Solve for x
    x = 4,292,318,279.40/89,075.76
  6. Step 6: Final answer
    x = 48,187.28

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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.