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Finding the Fourth Proportional to 30,477.67, 42,055.33 and 17,734.98

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Solution

The fourth proportional to 30,477.67, 42,055.33 and 17,734.98 is: 24,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.67 : 42,055.33 = 17,734.98 : x
  2. Step 2: Convert to fraction form
    30,477.67/42,055.33 = 17,734.98/x
  3. Step 3: Cross multiply
    30,477.67x = 42,055.33 × 17,734.98
  4. Step 4: Simplify right side
    30,477.67x = 745,850,178.35
  5. Step 5: Solve for x
    x = 745,850,178.35/30,477.67
  6. Step 6: Final answer
    x = 24,472.02

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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.