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Finding the Fourth Proportional to 31,256.50, 46,868.80 and 10,182.99

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Solution

The fourth proportional to 31,256.50, 46,868.80 and 10,182.99 is: 15,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,256.50 : 46,868.80 = 10,182.99 : x
  2. Step 2: Convert to fraction form
    31,256.50/46,868.80 = 10,182.99/x
  3. Step 3: Cross multiply
    31,256.50x = 46,868.80 × 10,182.99
  4. Step 4: Simplify right side
    31,256.50x = 477,264,521.71
  5. Step 5: Solve for x
    x = 477,264,521.71/31,256.50
  6. Step 6: Final answer
    x = 15,269.29

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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.