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Finding the Fourth Proportional to 102,191.22, 153,302.22 and 32,076

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Solution

The fourth proportional to 102,191.22, 153,302.22 and 32,076 is: 48,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.22 : 153,302.22 = 32,076 : x
  2. Step 2: Convert to fraction form
    102,191.22/153,302.22 = 32,076/x
  3. Step 3: Cross multiply
    102,191.22x = 153,302.22 × 32,076
  4. Step 4: Simplify right side
    102,191.22x = 4,917,322,008.72
  5. Step 5: Solve for x
    x = 4,917,322,008.72/102,191.22
  6. Step 6: Final answer
    x = 48,118.83

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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.