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Finding the Fourth Proportional to 30,893.40, 42,630.10 and 17,465.83

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Solution

The fourth proportional to 30,893.40, 42,630.10 and 17,465.83 is: 24,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.40 : 42,630.10 = 17,465.83 : x
  2. Step 2: Convert to fraction form
    30,893.40/42,630.10 = 17,465.83/x
  3. Step 3: Cross multiply
    30,893.40x = 42,630.10 × 17,465.83
  4. Step 4: Simplify right side
    30,893.40x = 744,569,929.24
  5. Step 5: Solve for x
    x = 744,569,929.24/30,893.40
  6. Step 6: Final answer
    x = 24,101.26

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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.