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Finding the Fourth Proportional to 31,106.34, 42,893.52 and 20,477.52

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Solution

The fourth proportional to 31,106.34, 42,893.52 and 20,477.52 is: 28,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.34 : 42,893.52 = 20,477.52 : x
  2. Step 2: Convert to fraction form
    31,106.34/42,893.52 = 20,477.52/x
  3. Step 3: Cross multiply
    31,106.34x = 42,893.52 × 20,477.52
  4. Step 4: Simplify right side
    31,106.34x = 878,352,913.67
  5. Step 5: Solve for x
    x = 878,352,913.67/31,106.34
  6. Step 6: Final answer
    x = 28,237.10

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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.