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Finding the Fourth Proportional to 105,683.94, 145,842.93 and 57,937.23

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Solution

The fourth proportional to 105,683.94, 145,842.93 and 57,937.23 is: 79,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,683.94 : 145,842.93 = 57,937.23 : x
  2. Step 2: Convert to fraction form
    105,683.94/145,842.93 = 57,937.23/x
  3. Step 3: Cross multiply
    105,683.94x = 145,842.93 × 57,937.23
  4. Step 4: Simplify right side
    105,683.94x = 8,449,735,379.28
  5. Step 5: Solve for x
    x = 8,449,735,379.28/105,683.94
  6. Step 6: Final answer
    x = 79,952.88

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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.