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Finding the Fourth Proportional to 30,438.33, 42,004.80 and 17,009.58

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Solution

The fourth proportional to 30,438.33, 42,004.80 and 17,009.58 is: 23,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.33 : 42,004.80 = 17,009.58 : x
  2. Step 2: Convert to fraction form
    30,438.33/42,004.80 = 17,009.58/x
  3. Step 3: Cross multiply
    30,438.33x = 42,004.80 × 17,009.58
  4. Step 4: Simplify right side
    30,438.33x = 714,484,025.95
  5. Step 5: Solve for x
    x = 714,484,025.95/30,438.33
  6. Step 6: Final answer
    x = 23,473.17

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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.