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Finding the Fourth Proportional to 51,585.84, 77,275.08 and 26,910

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Solution

The fourth proportional to 51,585.84, 77,275.08 and 26,910 is: 40,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,585.84 : 77,275.08 = 26,910 : x
  2. Step 2: Convert to fraction form
    51,585.84/77,275.08 = 26,910/x
  3. Step 3: Cross multiply
    51,585.84x = 77,275.08 × 26,910
  4. Step 4: Simplify right side
    51,585.84x = 2,079,472,402.80
  5. Step 5: Solve for x
    x = 2,079,472,402.80/51,585.84
  6. Step 6: Final answer
    x = 40,310.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.