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Finding the Fourth Proportional to 30,438.91, 42,032.42 and 19,128

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Solution

The fourth proportional to 30,438.91, 42,032.42 and 19,128 is: 26,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.91 : 42,032.42 = 19,128 : x
  2. Step 2: Convert to fraction form
    30,438.91/42,032.42 = 19,128/x
  3. Step 3: Cross multiply
    30,438.91x = 42,032.42 × 19,128
  4. Step 4: Simplify right side
    30,438.91x = 803,996,129.76
  5. Step 5: Solve for x
    x = 803,996,129.76/30,438.91
  6. Step 6: Final answer
    x = 26,413.43

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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.