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Finding the Fourth Proportional to 28,552.41, 42,831.46 and 9,829.97

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Solution

The fourth proportional to 28,552.41, 42,831.46 and 9,829.97 is: 14,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,552.41 : 42,831.46 = 9,829.97 : x
  2. Step 2: Convert to fraction form
    28,552.41/42,831.46 = 9,829.97/x
  3. Step 3: Cross multiply
    28,552.41x = 42,831.46 × 9,829.97
  4. Step 4: Simplify right side
    28,552.41x = 421,031,966.86
  5. Step 5: Solve for x
    x = 421,031,966.86/28,552.41
  6. Step 6: Final answer
    x = 14,745.93

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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.