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Finding the Fourth Proportional to 59,420, 81,999.60 and 32,924

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Solution

The fourth proportional to 59,420, 81,999.60 and 32,924 is: 45,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,420 : 81,999.60 = 32,924 : x
  2. Step 2: Convert to fraction form
    59,420/81,999.60 = 32,924/x
  3. Step 3: Cross multiply
    59,420x = 81,999.60 × 32,924
  4. Step 4: Simplify right side
    59,420x = 2,699,754,830.40
  5. Step 5: Solve for x
    x = 2,699,754,830.40/59,420
  6. Step 6: Final answer
    x = 45,435.12

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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.