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Finding the Fourth Proportional to 122,590.71, 183,885.80 and 32,633.45

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Solution

The fourth proportional to 122,590.71, 183,885.80 and 32,633.45 is: 48,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,590.71 : 183,885.80 = 32,633.45 : x
  2. Step 2: Convert to fraction form
    122,590.71/183,885.80 = 32,633.45/x
  3. Step 3: Cross multiply
    122,590.71x = 183,885.80 × 32,633.45
  4. Step 4: Simplify right side
    122,590.71x = 6,000,827,505.76
  5. Step 5: Solve for x
    x = 6,000,827,505.76/122,590.71
  6. Step 6: Final answer
    x = 48,950.10

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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.