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Finding the Fourth Proportional to 77,708.16, 116,537.76 and 51,552

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Solution

The fourth proportional to 77,708.16, 116,537.76 and 51,552 is: 77,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.16 : 116,537.76 = 51,552 : x
  2. Step 2: Convert to fraction form
    77,708.16/116,537.76 = 51,552/x
  3. Step 3: Cross multiply
    77,708.16x = 116,537.76 × 51,552
  4. Step 4: Simplify right side
    77,708.16x = 6,007,754,603.52
  5. Step 5: Solve for x
    x = 6,007,754,603.52/77,708.16
  6. Step 6: Final answer
    x = 77,311.76

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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.