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Finding the Fourth Proportional to 86,536, 119,419.68 and 46,792

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Solution

The fourth proportional to 86,536, 119,419.68 and 46,792 is: 64,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,536 : 119,419.68 = 46,792 : x
  2. Step 2: Convert to fraction form
    86,536/119,419.68 = 46,792/x
  3. Step 3: Cross multiply
    86,536x = 119,419.68 × 46,792
  4. Step 4: Simplify right side
    86,536x = 5,587,885,666.56
  5. Step 5: Solve for x
    x = 5,587,885,666.56/86,536
  6. Step 6: Final answer
    x = 64,572.96

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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.