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Finding the Fourth Proportional to 51,210, 70,669.80 and 27,658

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Solution

The fourth proportional to 51,210, 70,669.80 and 27,658 is: 38,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210 : 70,669.80 = 27,658 : x
  2. Step 2: Convert to fraction form
    51,210/70,669.80 = 27,658/x
  3. Step 3: Cross multiply
    51,210x = 70,669.80 × 27,658
  4. Step 4: Simplify right side
    51,210x = 1,954,585,328.40
  5. Step 5: Solve for x
    x = 1,954,585,328.40/51,210
  6. Step 6: Final answer
    x = 38,168.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.