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Finding the Fourth Proportional to 30,706.40, 42,320.16 and 26,446.40

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Solution

The fourth proportional to 30,706.40, 42,320.16 and 26,446.40 is: 36,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.40 : 42,320.16 = 26,446.40 : x
  2. Step 2: Convert to fraction form
    30,706.40/42,320.16 = 26,446.40/x
  3. Step 3: Cross multiply
    30,706.40x = 42,320.16 × 26,446.40
  4. Step 4: Simplify right side
    30,706.40x = 1,119,215,879.42
  5. Step 5: Solve for x
    x = 1,119,215,879.42/30,706.40
  6. Step 6: Final answer
    x = 36,448.94

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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.