Home / 31,827.76-47,729.32-10,762.16

Finding the Fourth Proportional to 31,827.76, 47,729.32 and 10,762.16

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Solution

The fourth proportional to 31,827.76, 47,729.32 and 10,762.16 is: 16,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.76 : 47,729.32 = 10,762.16 : x
  2. Step 2: Convert to fraction form
    31,827.76/47,729.32 = 10,762.16/x
  3. Step 3: Cross multiply
    31,827.76x = 47,729.32 × 10,762.16
  4. Step 4: Simplify right side
    31,827.76x = 513,670,578.53
  5. Step 5: Solve for x
    x = 513,670,578.53/31,827.76
  6. Step 6: Final answer
    x = 16,139.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.