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Finding the Fourth Proportional to 35,409.80, 53,114.70 and 29,966.60

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Solution

The fourth proportional to 35,409.80, 53,114.70 and 29,966.60 is: 44,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.80 : 53,114.70 = 29,966.60 : x
  2. Step 2: Convert to fraction form
    35,409.80/53,114.70 = 29,966.60/x
  3. Step 3: Cross multiply
    35,409.80x = 53,114.70 × 29,966.60
  4. Step 4: Simplify right side
    35,409.80x = 1,591,666,969.02
  5. Step 5: Solve for x
    x = 1,591,666,969.02/35,409.80
  6. Step 6: Final answer
    x = 44,949.90

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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.