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Finding the Fourth Proportional to 83,582.16, 115,345.41 and 45,856.41

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Solution

The fourth proportional to 83,582.16, 115,345.41 and 45,856.41 is: 63,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,582.16 : 115,345.41 = 45,856.41 : x
  2. Step 2: Convert to fraction form
    83,582.16/115,345.41 = 45,856.41/x
  3. Step 3: Cross multiply
    83,582.16x = 115,345.41 × 45,856.41
  4. Step 4: Simplify right side
    83,582.16x = 5,289,325,808.07
  5. Step 5: Solve for x
    x = 5,289,325,808.07/83,582.16
  6. Step 6: Final answer
    x = 63,282.95

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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.