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Finding the Fourth Proportional to 92,535.20, 138,782 and 42,567.32

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Solution

The fourth proportional to 92,535.20, 138,782 and 42,567.32 is: 63,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,535.20 : 138,782 = 42,567.32 : x
  2. Step 2: Convert to fraction form
    92,535.20/138,782 = 42,567.32/x
  3. Step 3: Cross multiply
    92,535.20x = 138,782 × 42,567.32
  4. Step 4: Simplify right side
    92,535.20x = 5,907,577,804.24
  5. Step 5: Solve for x
    x = 5,907,577,804.24/92,535.20
  6. Step 6: Final answer
    x = 63,841.41

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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.