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Finding the Fourth Proportional to 40,813.92, 56,323.04 and 23,829.84

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Solution

The fourth proportional to 40,813.92, 56,323.04 and 23,829.84 is: 32,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,813.92 : 56,323.04 = 23,829.84 : x
  2. Step 2: Convert to fraction form
    40,813.92/56,323.04 = 23,829.84/x
  3. Step 3: Cross multiply
    40,813.92x = 56,323.04 × 23,829.84
  4. Step 4: Simplify right side
    40,813.92x = 1,342,169,031.51
  5. Step 5: Solve for x
    x = 1,342,169,031.51/40,813.92
  6. Step 6: Final answer
    x = 32,885.08

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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.