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Finding the Fourth Proportional to 51,202, 70,658.76 and 27,650

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Solution

The fourth proportional to 51,202, 70,658.76 and 27,650 is: 38,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202 : 70,658.76 = 27,650 : x
  2. Step 2: Convert to fraction form
    51,202/70,658.76 = 27,650/x
  3. Step 3: Cross multiply
    51,202x = 70,658.76 × 27,650
  4. Step 4: Simplify right side
    51,202x = 1,953,714,714.00
  5. Step 5: Solve for x
    x = 1,953,714,714.00/51,202
  6. Step 6: Final answer
    x = 38,157.00

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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.