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Finding the Fourth Proportional to 57,703.17, 86,706.96 and 31,068.84

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Solution

The fourth proportional to 57,703.17, 86,706.96 and 31,068.84 is: 46,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703.17 : 86,706.96 = 31,068.84 : x
  2. Step 2: Convert to fraction form
    57,703.17/86,706.96 = 31,068.84/x
  3. Step 3: Cross multiply
    57,703.17x = 86,706.96 × 31,068.84
  4. Step 4: Simplify right side
    57,703.17x = 2,693,884,667.13
  5. Step 5: Solve for x
    x = 2,693,884,667.13/57,703.17
  6. Step 6: Final answer
    x = 46,685.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.