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Finding the Fourth Proportional to 84,213, 116,213.94 and 46,487.52

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Solution

The fourth proportional to 84,213, 116,213.94 and 46,487.52 is: 64,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 116,213.94 = 46,487.52 : x
  2. Step 2: Convert to fraction form
    84,213/116,213.94 = 46,487.52/x
  3. Step 3: Cross multiply
    84,213x = 116,213.94 × 46,487.52
  4. Step 4: Simplify right side
    84,213x = 5,402,497,860.03
  5. Step 5: Solve for x
    x = 5,402,497,860.03/84,213
  6. Step 6: Final answer
    x = 64,152.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.