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Finding the Fourth Proportional to 50,998.02, 70,354.64 and 33,985.70

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Solution

The fourth proportional to 50,998.02, 70,354.64 and 33,985.70 is: 46,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998.02 : 70,354.64 = 33,985.70 : x
  2. Step 2: Convert to fraction form
    50,998.02/70,354.64 = 33,985.70/x
  3. Step 3: Cross multiply
    50,998.02x = 70,354.64 × 33,985.70
  4. Step 4: Simplify right side
    50,998.02x = 2,391,051,166.95
  5. Step 5: Solve for x
    x = 2,391,051,166.95/50,998.02
  6. Step 6: Final answer
    x = 46,885.18

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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.