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Finding the Fourth Proportional to 34,205.50, 51,307.77 and 10,831.93

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Solution

The fourth proportional to 34,205.50, 51,307.77 and 10,831.93 is: 16,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.50 : 51,307.77 = 10,831.93 : x
  2. Step 2: Convert to fraction form
    34,205.50/51,307.77 = 10,831.93/x
  3. Step 3: Cross multiply
    34,205.50x = 51,307.77 × 10,831.93
  4. Step 4: Simplify right side
    34,205.50x = 555,762,173.10
  5. Step 5: Solve for x
    x = 555,762,173.10/34,205.50
  6. Step 6: Final answer
    x = 16,247.74

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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.