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Finding the Fourth Proportional to 56,193.94, 84,303.06 and 29,894.86

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Solution

The fourth proportional to 56,193.94, 84,303.06 and 29,894.86 is: 44,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,193.94 : 84,303.06 = 29,894.86 : x
  2. Step 2: Convert to fraction form
    56,193.94/84,303.06 = 29,894.86/x
  3. Step 3: Cross multiply
    56,193.94x = 84,303.06 × 29,894.86
  4. Step 4: Simplify right side
    56,193.94x = 2,520,228,176.27
  5. Step 5: Solve for x
    x = 2,520,228,176.27/56,193.94
  6. Step 6: Final answer
    x = 44,848.75

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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.