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Finding the Fourth Proportional to 102,567.92, 153,920.60 and 36,008.24

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Solution

The fourth proportional to 102,567.92, 153,920.60 and 36,008.24 is: 54,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.92 : 153,920.60 = 36,008.24 : x
  2. Step 2: Convert to fraction form
    102,567.92/153,920.60 = 36,008.24/x
  3. Step 3: Cross multiply
    102,567.92x = 153,920.60 × 36,008.24
  4. Step 4: Simplify right side
    102,567.92x = 5,542,410,482.95
  5. Step 5: Solve for x
    x = 5,542,410,482.95/102,567.92
  6. Step 6: Final answer
    x = 54,036.49

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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.