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Finding the Fourth Proportional to 75,316.92, 103,937.40 and 41,782.92

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Solution

The fourth proportional to 75,316.92, 103,937.40 and 41,782.92 is: 57,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,316.92 : 103,937.40 = 41,782.92 : x
  2. Step 2: Convert to fraction form
    75,316.92/103,937.40 = 41,782.92/x
  3. Step 3: Cross multiply
    75,316.92x = 103,937.40 × 41,782.92
  4. Step 4: Simplify right side
    75,316.92x = 4,342,808,069.21
  5. Step 5: Solve for x
    x = 4,342,808,069.21/75,316.92
  6. Step 6: Final answer
    x = 57,660.46

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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.