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Finding the Fourth Proportional to 31,030.98, 42,808.86 and 20,956.20

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Solution

The fourth proportional to 31,030.98, 42,808.86 and 20,956.20 is: 28,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.98 : 42,808.86 = 20,956.20 : x
  2. Step 2: Convert to fraction form
    31,030.98/42,808.86 = 20,956.20/x
  3. Step 3: Cross multiply
    31,030.98x = 42,808.86 × 20,956.20
  4. Step 4: Simplify right side
    31,030.98x = 897,111,031.93
  5. Step 5: Solve for x
    x = 897,111,031.93/31,030.98
  6. Step 6: Final answer
    x = 28,910.17

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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.