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Finding the Fourth Proportional to 86,707, 119,655.66 and 46,963

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Solution

The fourth proportional to 86,707, 119,655.66 and 46,963 is: 64,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,707 : 119,655.66 = 46,963 : x
  2. Step 2: Convert to fraction form
    86,707/119,655.66 = 46,963/x
  3. Step 3: Cross multiply
    86,707x = 119,655.66 × 46,963
  4. Step 4: Simplify right side
    86,707x = 5,619,388,760.58
  5. Step 5: Solve for x
    x = 5,619,388,760.58/86,707
  6. Step 6: Final answer
    x = 64,808.94

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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.