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Finding the Fourth Proportional to 121,051.59, 181,577.40 and 32,305.41

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Solution

The fourth proportional to 121,051.59, 181,577.40 and 32,305.41 is: 48,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,051.59 : 181,577.40 = 32,305.41 : x
  2. Step 2: Convert to fraction form
    121,051.59/181,577.40 = 32,305.41/x
  3. Step 3: Cross multiply
    121,051.59x = 181,577.40 × 32,305.41
  4. Step 4: Simplify right side
    121,051.59x = 5,865,932,353.73
  5. Step 5: Solve for x
    x = 5,865,932,353.73/121,051.59
  6. Step 6: Final answer
    x = 48,458.12

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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.