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Finding the Fourth Proportional to 30,189.88, 41,633.08 and 19,423.76

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Solution

The fourth proportional to 30,189.88, 41,633.08 and 19,423.76 is: 26,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.88 : 41,633.08 = 19,423.76 : x
  2. Step 2: Convert to fraction form
    30,189.88/41,633.08 = 19,423.76/x
  3. Step 3: Cross multiply
    30,189.88x = 41,633.08 × 19,423.76
  4. Step 4: Simplify right side
    30,189.88x = 808,671,009.50
  5. Step 5: Solve for x
    x = 808,671,009.50/30,189.88
  6. Step 6: Final answer
    x = 26,786.16

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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.