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Finding the Fourth Proportional to 56,998.86, 85,423.74 and 30,646.86

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Solution

The fourth proportional to 56,998.86, 85,423.74 and 30,646.86 is: 45,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.86 : 85,423.74 = 30,646.86 : x
  2. Step 2: Convert to fraction form
    56,998.86/85,423.74 = 30,646.86/x
  3. Step 3: Cross multiply
    56,998.86x = 85,423.74 × 30,646.86
  4. Step 4: Simplify right side
    56,998.86x = 2,617,969,400.46
  5. Step 5: Solve for x
    x = 2,617,969,400.46/56,998.86
  6. Step 6: Final answer
    x = 45,930.21

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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.