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Finding the Fourth Proportional to 32,852.12, 45,387.42 and 31,233.74

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Solution

The fourth proportional to 32,852.12, 45,387.42 and 31,233.74 is: 43,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.12 : 45,387.42 = 31,233.74 : x
  2. Step 2: Convert to fraction form
    32,852.12/45,387.42 = 31,233.74/x
  3. Step 3: Cross multiply
    32,852.12x = 45,387.42 × 31,233.74
  4. Step 4: Simplify right side
    32,852.12x = 1,417,618,875.55
  5. Step 5: Solve for x
    x = 1,417,618,875.55/32,852.12
  6. Step 6: Final answer
    x = 43,151.52

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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.