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Finding the Fourth Proportional to 82,767.51, 114,221.76 and 46,959.03

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Solution

The fourth proportional to 82,767.51, 114,221.76 and 46,959.03 is: 64,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.51 : 114,221.76 = 46,959.03 : x
  2. Step 2: Convert to fraction form
    82,767.51/114,221.76 = 46,959.03/x
  3. Step 3: Cross multiply
    82,767.51x = 114,221.76 × 46,959.03
  4. Step 4: Simplify right side
    82,767.51x = 5,363,742,819.70
  5. Step 5: Solve for x
    x = 5,363,742,819.70/82,767.51
  6. Step 6: Final answer
    x = 64,804.93

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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.