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Finding the Fourth Proportional to 83,090, 124,686.84 and 33,842

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Solution

The fourth proportional to 83,090, 124,686.84 and 33,842 is: 50,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090 : 124,686.84 = 33,842 : x
  2. Step 2: Convert to fraction form
    83,090/124,686.84 = 33,842/x
  3. Step 3: Cross multiply
    83,090x = 124,686.84 × 33,842
  4. Step 4: Simplify right side
    83,090x = 4,219,652,039.28
  5. Step 5: Solve for x
    x = 4,219,652,039.28/83,090
  6. Step 6: Final answer
    x = 50,784.11

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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.