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Finding the Fourth Proportional to 30,588.81, 42,213.84 and 17,159.70

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Solution

The fourth proportional to 30,588.81, 42,213.84 and 17,159.70 is: 23,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.81 : 42,213.84 = 17,159.70 : x
  2. Step 2: Convert to fraction form
    30,588.81/42,213.84 = 17,159.70/x
  3. Step 3: Cross multiply
    30,588.81x = 42,213.84 × 17,159.70
  4. Step 4: Simplify right side
    30,588.81x = 724,376,830.25
  5. Step 5: Solve for x
    x = 724,376,830.25/30,588.81
  6. Step 6: Final answer
    x = 23,681.11

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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.