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Finding the Fourth Proportional to 82,763.76, 114,216.57 and 46,955.28

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Solution

The fourth proportional to 82,763.76, 114,216.57 and 46,955.28 is: 64,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.76 : 114,216.57 = 46,955.28 : x
  2. Step 2: Convert to fraction form
    82,763.76/114,216.57 = 46,955.28/x
  3. Step 3: Cross multiply
    82,763.76x = 114,216.57 × 46,955.28
  4. Step 4: Simplify right side
    82,763.76x = 5,363,071,024.99
  5. Step 5: Solve for x
    x = 5,363,071,024.99/82,763.76
  6. Step 6: Final answer
    x = 64,799.75

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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.