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Finding the Fourth Proportional to 30,706.84, 45,820.76 and 27,397.18

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Solution

The fourth proportional to 30,706.84, 45,820.76 and 27,397.18 is: 40,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.84 : 45,820.76 = 27,397.18 : x
  2. Step 2: Convert to fraction form
    30,706.84/45,820.76 = 27,397.18/x
  3. Step 3: Cross multiply
    30,706.84x = 45,820.76 × 27,397.18
  4. Step 4: Simplify right side
    30,706.84x = 1,255,359,609.46
  5. Step 5: Solve for x
    x = 1,255,359,609.46/30,706.84
  6. Step 6: Final answer
    x = 40,882.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.