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Finding the Fourth Proportional to 82,675.66, 114,092.93 and 48,685.63

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Solution

The fourth proportional to 82,675.66, 114,092.93 and 48,685.63 is: 67,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675.66 : 114,092.93 = 48,685.63 : x
  2. Step 2: Convert to fraction form
    82,675.66/114,092.93 = 48,685.63/x
  3. Step 3: Cross multiply
    82,675.66x = 114,092.93 × 48,685.63
  4. Step 4: Simplify right side
    82,675.66x = 5,554,685,361.70
  5. Step 5: Solve for x
    x = 5,554,685,361.70/82,675.66
  6. Step 6: Final answer
    x = 67,186.47

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1.5x scale

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.