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Finding the Fourth Proportional to 56,798.86, 85,074.20 and 46,826.14

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Solution

The fourth proportional to 56,798.86, 85,074.20 and 46,826.14 is: 70,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,798.86 : 85,074.20 = 46,826.14 : x
  2. Step 2: Convert to fraction form
    56,798.86/85,074.20 = 46,826.14/x
  3. Step 3: Cross multiply
    56,798.86x = 85,074.20 × 46,826.14
  4. Step 4: Simplify right side
    56,798.86x = 3,983,696,399.59
  5. Step 5: Solve for x
    x = 3,983,696,399.59/56,798.86
  6. Step 6: Final answer
    x = 70,136.91

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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.