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Finding the Fourth Proportional to 74,075.52, 102,204 and 42,232.80

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Solution

The fourth proportional to 74,075.52, 102,204 and 42,232.80 is: 58,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075.52 : 102,204 = 42,232.80 : x
  2. Step 2: Convert to fraction form
    74,075.52/102,204 = 42,232.80/x
  3. Step 3: Cross multiply
    74,075.52x = 102,204 × 42,232.80
  4. Step 4: Simplify right side
    74,075.52x = 4,316,361,091.20
  5. Step 5: Solve for x
    x = 4,316,361,091.20/74,075.52
  6. Step 6: Final answer
    x = 58,269.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.