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Finding the Fourth Proportional to 84,214.06, 116,214.69 and 46,487.50

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Solution

The fourth proportional to 84,214.06, 116,214.69 and 46,487.50 is: 64,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,214.06 : 116,214.69 = 46,487.50 : x
  2. Step 2: Convert to fraction form
    84,214.06/116,214.69 = 46,487.50/x
  3. Step 3: Cross multiply
    84,214.06x = 116,214.69 × 46,487.50
  4. Step 4: Simplify right side
    84,214.06x = 5,402,530,401.38
  5. Step 5: Solve for x
    x = 5,402,530,401.38/84,214.06
  6. Step 6: Final answer
    x = 64,152.36

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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.