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Finding the Fourth Proportional to 30,916.22, 42,617.04 and 18,957.38

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Solution

The fourth proportional to 30,916.22, 42,617.04 and 18,957.38 is: 26,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.22 : 42,617.04 = 18,957.38 : x
  2. Step 2: Convert to fraction form
    30,916.22/42,617.04 = 18,957.38/x
  3. Step 3: Cross multiply
    30,916.22x = 42,617.04 × 18,957.38
  4. Step 4: Simplify right side
    30,916.22x = 807,907,421.76
  5. Step 5: Solve for x
    x = 807,907,421.76/30,916.22
  6. Step 6: Final answer
    x = 26,132.15

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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.