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Finding the Fourth Proportional to 35,980.34, 53,974.35 and 9,685.46

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Solution

The fourth proportional to 35,980.34, 53,974.35 and 9,685.46 is: 14,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.34 : 53,974.35 = 9,685.46 : x
  2. Step 2: Convert to fraction form
    35,980.34/53,974.35 = 9,685.46/x
  3. Step 3: Cross multiply
    35,980.34x = 53,974.35 × 9,685.46
  4. Step 4: Simplify right side
    35,980.34x = 522,766,407.95
  5. Step 5: Solve for x
    x = 522,766,407.95/35,980.34
  6. Step 6: Final answer
    x = 14,529.22

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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.