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Finding the Fourth Proportional to 35,482.28, 53,244.02 and 13,311.08

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Solution

The fourth proportional to 35,482.28, 53,244.02 and 13,311.08 is: 19,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482.28 : 53,244.02 = 13,311.08 : x
  2. Step 2: Convert to fraction form
    35,482.28/53,244.02 = 13,311.08/x
  3. Step 3: Cross multiply
    35,482.28x = 53,244.02 × 13,311.08
  4. Step 4: Simplify right side
    35,482.28x = 708,735,409.74
  5. Step 5: Solve for x
    x = 708,735,409.74/35,482.28
  6. Step 6: Final answer
    x = 19,974.35

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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.