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Finding the Fourth Proportional to 82,023.68, 123,035.52 and 46,938.52

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Solution

The fourth proportional to 82,023.68, 123,035.52 and 46,938.52 is: 70,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.68 : 123,035.52 = 46,938.52 : x
  2. Step 2: Convert to fraction form
    82,023.68/123,035.52 = 46,938.52/x
  3. Step 3: Cross multiply
    82,023.68x = 123,035.52 × 46,938.52
  4. Step 4: Simplify right side
    82,023.68x = 5,775,105,216.23
  5. Step 5: Solve for x
    x = 5,775,105,216.23/82,023.68
  6. Step 6: Final answer
    x = 70,407.78

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1.5x scale

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.