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Finding the Fourth Proportional to 30,706.32, 42,371.70 and 17,277.24

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Solution

The fourth proportional to 30,706.32, 42,371.70 and 17,277.24 is: 23,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.32 : 42,371.70 = 17,277.24 : x
  2. Step 2: Convert to fraction form
    30,706.32/42,371.70 = 17,277.24/x
  3. Step 3: Cross multiply
    30,706.32x = 42,371.70 × 17,277.24
  4. Step 4: Simplify right side
    30,706.32x = 732,066,030.11
  5. Step 5: Solve for x
    x = 732,066,030.11/30,706.32
  6. Step 6: Final answer
    x = 23,840.89

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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.