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Finding the Fourth Proportional to 86,613, 119,526 and 46,869

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Solution

The fourth proportional to 86,613, 119,526 and 46,869 is: 64,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,613 : 119,526 = 46,869 : x
  2. Step 2: Convert to fraction form
    86,613/119,526 = 46,869/x
  3. Step 3: Cross multiply
    86,613x = 119,526 × 46,869
  4. Step 4: Simplify right side
    86,613x = 5,602,064,094
  5. Step 5: Solve for x
    x = 5,602,064,094/86,613
  6. Step 6: Final answer
    x = 64,679.25

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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.