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Finding the Fourth Proportional to 31,417.98, 47,160.53 and 12,710.24

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Solution

The fourth proportional to 31,417.98, 47,160.53 and 12,710.24 is: 19,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.98 : 47,160.53 = 12,710.24 : x
  2. Step 2: Convert to fraction form
    31,417.98/47,160.53 = 12,710.24/x
  3. Step 3: Cross multiply
    31,417.98x = 47,160.53 × 12,710.24
  4. Step 4: Simplify right side
    31,417.98x = 599,421,651.48
  5. Step 5: Solve for x
    x = 599,421,651.48/31,417.98
  6. Step 6: Final answer
    x = 19,078.94

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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.