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Finding the Fourth Proportional to 30,590.34, 42,214.76 and 17,852.28

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Solution

The fourth proportional to 30,590.34, 42,214.76 and 17,852.28 is: 24,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.34 : 42,214.76 = 17,852.28 : x
  2. Step 2: Convert to fraction form
    30,590.34/42,214.76 = 17,852.28/x
  3. Step 3: Cross multiply
    30,590.34x = 42,214.76 × 17,852.28
  4. Step 4: Simplify right side
    30,590.34x = 753,629,715.65
  5. Step 5: Solve for x
    x = 753,629,715.65/30,590.34
  6. Step 6: Final answer
    x = 24,636.20

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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.