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Finding the Fourth Proportional to 51,002.30, 76,330.65 and 51,002.30

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Solution

The fourth proportional to 51,002.30, 76,330.65 and 51,002.30 is: 76,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,002.30 : 76,330.65 = 51,002.30 : x
  2. Step 2: Convert to fraction form
    51,002.30/76,330.65 = 51,002.30/x
  3. Step 3: Cross multiply
    51,002.30x = 76,330.65 × 51,002.30
  4. Step 4: Simplify right side
    51,002.30x = 3,893,038,710.50
  5. Step 5: Solve for x
    x = 3,893,038,710.50/51,002.30
  6. Step 6: Final answer
    x = 76,330.65

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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.