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Finding the Fourth Proportional to 30,675.54, 42,346.49 and 23,124.93

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Solution

The fourth proportional to 30,675.54, 42,346.49 and 23,124.93 is: 31,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.54 : 42,346.49 = 23,124.93 : x
  2. Step 2: Convert to fraction form
    30,675.54/42,346.49 = 23,124.93/x
  3. Step 3: Cross multiply
    30,675.54x = 42,346.49 × 23,124.93
  4. Step 4: Simplify right side
    30,675.54x = 979,259,501.37
  5. Step 5: Solve for x
    x = 979,259,501.37/30,675.54
  6. Step 6: Final answer
    x = 31,923.14

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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.