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Finding the Fourth Proportional to 122,011.85, 183,000.90 and 37,829.90

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Solution

The fourth proportional to 122,011.85, 183,000.90 and 37,829.90 is: 56,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,011.85 : 183,000.90 = 37,829.90 : x
  2. Step 2: Convert to fraction form
    122,011.85/183,000.90 = 37,829.90/x
  3. Step 3: Cross multiply
    122,011.85x = 183,000.90 × 37,829.90
  4. Step 4: Simplify right side
    122,011.85x = 6,922,905,746.91
  5. Step 5: Solve for x
    x = 6,922,905,746.91/122,011.85
  6. Step 6: Final answer
    x = 56,739.62

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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.