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Finding the Fourth Proportional to 82,260.46, 113,518.56 and 46,448.35

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Solution

The fourth proportional to 82,260.46, 113,518.56 and 46,448.35 is: 64,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,260.46 : 113,518.56 = 46,448.35 : x
  2. Step 2: Convert to fraction form
    82,260.46/113,518.56 = 46,448.35/x
  3. Step 3: Cross multiply
    82,260.46x = 113,518.56 × 46,448.35
  4. Step 4: Simplify right side
    82,260.46x = 5,272,749,806.38
  5. Step 5: Solve for x
    x = 5,272,749,806.38/82,260.46
  6. Step 6: Final answer
    x = 64,098.23

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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.