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Finding the Fourth Proportional to 31,076.80, 46,602.88 and 13,534.31

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Solution

The fourth proportional to 31,076.80, 46,602.88 and 13,534.31 is: 20,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.80 : 46,602.88 = 13,534.31 : x
  2. Step 2: Convert to fraction form
    31,076.80/46,602.88 = 13,534.31/x
  3. Step 3: Cross multiply
    31,076.80x = 46,602.88 × 13,534.31
  4. Step 4: Simplify right side
    31,076.80x = 630,737,907.48
  5. Step 5: Solve for x
    x = 630,737,907.48/31,076.80
  6. Step 6: Final answer
    x = 20,296.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.