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Finding the Fourth Proportional to 86,549, 119,437.74 and 46,805

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Solution

The fourth proportional to 86,549, 119,437.74 and 46,805 is: 64,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,549 : 119,437.74 = 46,805 : x
  2. Step 2: Convert to fraction form
    86,549/119,437.74 = 46,805/x
  3. Step 3: Cross multiply
    86,549x = 119,437.74 × 46,805
  4. Step 4: Simplify right side
    86,549x = 5,590,283,420.70
  5. Step 5: Solve for x
    x = 5,590,283,420.70/86,549
  6. Step 6: Final answer
    x = 64,590.96

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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.