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Finding the Fourth Proportional to 30,590.19, 42,211.98 and 17,159.58

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Solution

The fourth proportional to 30,590.19, 42,211.98 and 17,159.58 is: 23,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.19 : 42,211.98 = 17,159.58 : x
  2. Step 2: Convert to fraction form
    30,590.19/42,211.98 = 17,159.58/x
  3. Step 3: Cross multiply
    30,590.19x = 42,211.98 × 17,159.58
  4. Step 4: Simplify right side
    30,590.19x = 724,339,847.77
  5. Step 5: Solve for x
    x = 724,339,847.77/30,590.19
  6. Step 6: Final answer
    x = 23,678.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.