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Finding the Fourth Proportional to 32,854.50, 45,291.72 and 23,406.66

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Solution

The fourth proportional to 32,854.50, 45,291.72 and 23,406.66 is: 32,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.50 : 45,291.72 = 23,406.66 : x
  2. Step 2: Convert to fraction form
    32,854.50/45,291.72 = 23,406.66/x
  3. Step 3: Cross multiply
    32,854.50x = 45,291.72 × 23,406.66
  4. Step 4: Simplify right side
    32,854.50x = 1,060,127,890.86
  5. Step 5: Solve for x
    x = 1,060,127,890.86/32,854.50
  6. Step 6: Final answer
    x = 32,267.36

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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.