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Finding the Fourth Proportional to 77,497.96, 106,248.41 and 76,098.28

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Solution

The fourth proportional to 77,497.96, 106,248.41 and 76,098.28 is: 104,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497.96 : 106,248.41 = 76,098.28 : x
  2. Step 2: Convert to fraction form
    77,497.96/106,248.41 = 76,098.28/x
  3. Step 3: Cross multiply
    77,497.96x = 106,248.41 × 76,098.28
  4. Step 4: Simplify right side
    77,497.96x = 8,085,321,253.73
  5. Step 5: Solve for x
    x = 8,085,321,253.73/77,497.96
  6. Step 6: Final answer
    x = 104,329.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.