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Finding the Fourth Proportional to 83,582.70, 115,345.92 and 45,856.92

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Solution

The fourth proportional to 83,582.70, 115,345.92 and 45,856.92 is: 63,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,582.70 : 115,345.92 = 45,856.92 : x
  2. Step 2: Convert to fraction form
    83,582.70/115,345.92 = 45,856.92/x
  3. Step 3: Cross multiply
    83,582.70x = 115,345.92 × 45,856.92
  4. Step 4: Simplify right side
    83,582.70x = 5,289,408,625.77
  5. Step 5: Solve for x
    x = 5,289,408,625.77/83,582.70
  6. Step 6: Final answer
    x = 63,283.53

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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.