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Finding the Fourth Proportional to 30,870.98, 42,602.08 and 17,442.38

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Solution

The fourth proportional to 30,870.98, 42,602.08 and 17,442.38 is: 24,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.98 : 42,602.08 = 17,442.38 : x
  2. Step 2: Convert to fraction form
    30,870.98/42,602.08 = 17,442.38/x
  3. Step 3: Cross multiply
    30,870.98x = 42,602.08 × 17,442.38
  4. Step 4: Simplify right side
    30,870.98x = 743,081,668.15
  5. Step 5: Solve for x
    x = 743,081,668.15/30,870.98
  6. Step 6: Final answer
    x = 24,070.56

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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.