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Finding the Fourth Proportional to 83,078.58, 114,510.30 and 58,848.24

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Solution

The fourth proportional to 83,078.58, 114,510.30 and 58,848.24 is: 81,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.58 : 114,510.30 = 58,848.24 : x
  2. Step 2: Convert to fraction form
    83,078.58/114,510.30 = 58,848.24/x
  3. Step 3: Cross multiply
    83,078.58x = 114,510.30 × 58,848.24
  4. Step 4: Simplify right side
    83,078.58x = 6,738,729,616.87
  5. Step 5: Solve for x
    x = 6,738,729,616.87/83,078.58
  6. Step 6: Final answer
    x = 81,112.72

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1.5x scale

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.