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Finding the Fourth Proportional to 122,590.50, 183,885.76 and 39,484.50

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Solution

The fourth proportional to 122,590.50, 183,885.76 and 39,484.50 is: 59,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,590.50 : 183,885.76 = 39,484.50 : x
  2. Step 2: Convert to fraction form
    122,590.50/183,885.76 = 39,484.50/x
  3. Step 3: Cross multiply
    122,590.50x = 183,885.76 × 39,484.50
  4. Step 4: Simplify right side
    122,590.50x = 7,260,637,290.72
  5. Step 5: Solve for x
    x = 7,260,637,290.72/122,590.50
  6. Step 6: Final answer
    x = 59,226.75

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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.