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Finding the Fourth Proportional to 31,177.80, 46,732.14 and 18,714.60

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Solution

The fourth proportional to 31,177.80, 46,732.14 and 18,714.60 is: 28,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.80 : 46,732.14 = 18,714.60 : x
  2. Step 2: Convert to fraction form
    31,177.80/46,732.14 = 18,714.60/x
  3. Step 3: Cross multiply
    31,177.80x = 46,732.14 × 18,714.60
  4. Step 4: Simplify right side
    31,177.80x = 874,573,307.24
  5. Step 5: Solve for x
    x = 874,573,307.24/31,177.80
  6. Step 6: Final answer
    x = 28,051.16

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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.