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Finding the Fourth Proportional to 86,742.50, 119,704.65 and 46,998.50

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Solution

The fourth proportional to 86,742.50, 119,704.65 and 46,998.50 is: 64,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,742.50 : 119,704.65 = 46,998.50 : x
  2. Step 2: Convert to fraction form
    86,742.50/119,704.65 = 46,998.50/x
  3. Step 3: Cross multiply
    86,742.50x = 119,704.65 × 46,998.50
  4. Step 4: Simplify right side
    86,742.50x = 5,625,938,993.03
  5. Step 5: Solve for x
    x = 5,625,938,993.03/86,742.50
  6. Step 6: Final answer
    x = 64,857.93

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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.