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Finding the Fourth Proportional to 30,438.32, 42,001.32 and 17,010.16

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Solution

The fourth proportional to 30,438.32, 42,001.32 and 17,010.16 is: 23,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.32 : 42,001.32 = 17,010.16 : x
  2. Step 2: Convert to fraction form
    30,438.32/42,001.32 = 17,010.16/x
  3. Step 3: Cross multiply
    30,438.32x = 42,001.32 × 17,010.16
  4. Step 4: Simplify right side
    30,438.32x = 714,449,173.41
  5. Step 5: Solve for x
    x = 714,449,173.41/30,438.32
  6. Step 6: Final answer
    x = 23,472.03

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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.