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Finding the Fourth Proportional to 30,907.06, 42,658.14 and 17,478.88

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Solution

The fourth proportional to 30,907.06, 42,658.14 and 17,478.88 is: 24,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.06 : 42,658.14 = 17,478.88 : x
  2. Step 2: Convert to fraction form
    30,907.06/42,658.14 = 17,478.88/x
  3. Step 3: Cross multiply
    30,907.06x = 42,658.14 × 17,478.88
  4. Step 4: Simplify right side
    30,907.06x = 745,616,510.08
  5. Step 5: Solve for x
    x = 745,616,510.08/30,907.06
  6. Step 6: Final answer
    x = 24,124.47

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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.