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Finding the Fourth Proportional to 30,448.32, 42,016.32 and 17,019.36

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Solution

The fourth proportional to 30,448.32, 42,016.32 and 17,019.36 is: 23,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.32 : 42,016.32 = 17,019.36 : x
  2. Step 2: Convert to fraction form
    30,448.32/42,016.32 = 17,019.36/x
  3. Step 3: Cross multiply
    30,448.32x = 42,016.32 × 17,019.36
  4. Step 4: Simplify right side
    30,448.32x = 715,090,875.96
  5. Step 5: Solve for x
    x = 715,090,875.96/30,448.32
  6. Step 6: Final answer
    x = 23,485.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.