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Finding the Fourth Proportional to 43,765.86, 65,642.58 and 24,985.00

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Solution

The fourth proportional to 43,765.86, 65,642.58 and 24,985.00 is: 37,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,765.86 : 65,642.58 = 24,985.00 : x
  2. Step 2: Convert to fraction form
    43,765.86/65,642.58 = 24,985.00/x
  3. Step 3: Cross multiply
    43,765.86x = 65,642.58 × 24,985.00
  4. Step 4: Simplify right side
    43,765.86x = 1,640,079,697.19
  5. Step 5: Solve for x
    x = 1,640,079,697.19/43,765.86
  6. Step 6: Final answer
    x = 37,473.95

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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.