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Finding the Fourth Proportional to 31,756.91, 47,642.63 and 10,696.40

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Solution

The fourth proportional to 31,756.91, 47,642.63 and 10,696.40 is: 16,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.91 : 47,642.63 = 10,696.40 : x
  2. Step 2: Convert to fraction form
    31,756.91/47,642.63 = 10,696.40/x
  3. Step 3: Cross multiply
    31,756.91x = 47,642.63 × 10,696.40
  4. Step 4: Simplify right side
    31,756.91x = 509,604,842.65
  5. Step 5: Solve for x
    x = 509,604,842.65/31,756.91
  6. Step 6: Final answer
    x = 16,047.05

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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.