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Finding the Fourth Proportional to 30,442.15, 42,005.03 and 17,013.51

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Solution

The fourth proportional to 30,442.15, 42,005.03 and 17,013.51 is: 23,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.15 : 42,005.03 = 17,013.51 : x
  2. Step 2: Convert to fraction form
    30,442.15/42,005.03 = 17,013.51/x
  3. Step 3: Cross multiply
    30,442.15x = 42,005.03 × 17,013.51
  4. Step 4: Simplify right side
    30,442.15x = 714,653,008.59
  5. Step 5: Solve for x
    x = 714,653,008.59/30,442.15
  6. Step 6: Final answer
    x = 23,475.78

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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.