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Finding the Fourth Proportional to 122,590.98, 183,886.20 and 32,633.71

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Solution

The fourth proportional to 122,590.98, 183,886.20 and 32,633.71 is: 48,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,590.98 : 183,886.20 = 32,633.71 : x
  2. Step 2: Convert to fraction form
    122,590.98/183,886.20 = 32,633.71/x
  3. Step 3: Cross multiply
    122,590.98x = 183,886.20 × 32,633.71
  4. Step 4: Simplify right side
    122,590.98x = 6,000,889,437.26
  5. Step 5: Solve for x
    x = 6,000,889,437.26/122,590.98
  6. Step 6: Final answer
    x = 48,950.50

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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.