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Finding the Fourth Proportional to 86,549.50, 119,438.31 and 46,805.50

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Solution

The fourth proportional to 86,549.50, 119,438.31 and 46,805.50 is: 64,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,549.50 : 119,438.31 = 46,805.50 : x
  2. Step 2: Convert to fraction form
    86,549.50/119,438.31 = 46,805.50/x
  3. Step 3: Cross multiply
    86,549.50x = 119,438.31 × 46,805.50
  4. Step 4: Simplify right side
    86,549.50x = 5,590,369,818.71
  5. Step 5: Solve for x
    x = 5,590,369,818.71/86,549.50
  6. Step 6: Final answer
    x = 64,591.59

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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.