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Finding the Fourth Proportional to 30,931.30, 42,686.14 and 18,182.15

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Solution

The fourth proportional to 30,931.30, 42,686.14 and 18,182.15 is: 25,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.30 : 42,686.14 = 18,182.15 : x
  2. Step 2: Convert to fraction form
    30,931.30/42,686.14 = 18,182.15/x
  3. Step 3: Cross multiply
    30,931.30x = 42,686.14 × 18,182.15
  4. Step 4: Simplify right side
    30,931.30x = 776,125,609.70
  5. Step 5: Solve for x
    x = 776,125,609.70/30,931.30
  6. Step 6: Final answer
    x = 25,091.92

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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.