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Finding the Fourth Proportional to 43,831.80, 65,780.10 and 29,035.80

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Solution

The fourth proportional to 43,831.80, 65,780.10 and 29,035.80 is: 43,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,831.80 : 65,780.10 = 29,035.80 : x
  2. Step 2: Convert to fraction form
    43,831.80/65,780.10 = 29,035.80/x
  3. Step 3: Cross multiply
    43,831.80x = 65,780.10 × 29,035.80
  4. Step 4: Simplify right side
    43,831.80x = 1,909,977,827.58
  5. Step 5: Solve for x
    x = 1,909,977,827.58/43,831.80
  6. Step 6: Final answer
    x = 43,575.16

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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.