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Finding the Fourth Proportional to 31,200.14, 46,798.83 and 8,710.94

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Solution

The fourth proportional to 31,200.14, 46,798.83 and 8,710.94 is: 13,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.14 : 46,798.83 = 8,710.94 : x
  2. Step 2: Convert to fraction form
    31,200.14/46,798.83 = 8,710.94/x
  3. Step 3: Cross multiply
    31,200.14x = 46,798.83 × 8,710.94
  4. Step 4: Simplify right side
    31,200.14x = 407,661,566.21
  5. Step 5: Solve for x
    x = 407,661,566.21/31,200.14
  6. Step 6: Final answer
    x = 13,066.02

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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.