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Finding the Fourth Proportional to 32,905.12, 45,407.76 and 20,156.32

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Solution

The fourth proportional to 32,905.12, 45,407.76 and 20,156.32 is: 27,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.12 : 45,407.76 = 20,156.32 : x
  2. Step 2: Convert to fraction form
    32,905.12/45,407.76 = 20,156.32/x
  3. Step 3: Cross multiply
    32,905.12x = 45,407.76 × 20,156.32
  4. Step 4: Simplify right side
    32,905.12x = 915,253,341.04
  5. Step 5: Solve for x
    x = 915,253,341.04/32,905.12
  6. Step 6: Final answer
    x = 27,814.92

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