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Finding the Fourth Proportional to 82,332.76, 113,623.64 and 46,524.28

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Solution

The fourth proportional to 82,332.76, 113,623.64 and 46,524.28 is: 64,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,332.76 : 113,623.64 = 46,524.28 : x
  2. Step 2: Convert to fraction form
    82,332.76/113,623.64 = 46,524.28/x
  3. Step 3: Cross multiply
    82,332.76x = 113,623.64 × 46,524.28
  4. Step 4: Simplify right side
    82,332.76x = 5,286,258,041.98
  5. Step 5: Solve for x
    x = 5,286,258,041.98/82,332.76
  6. Step 6: Final answer
    x = 64,206.01

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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.