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Finding the Fourth Proportional to 124,051.80, 186,084.74 and 35,298.28

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Solution

The fourth proportional to 124,051.80, 186,084.74 and 35,298.28 is: 52,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,051.80 : 186,084.74 = 35,298.28 : x
  2. Step 2: Convert to fraction form
    124,051.80/186,084.74 = 35,298.28/x
  3. Step 3: Cross multiply
    124,051.80x = 186,084.74 × 35,298.28
  4. Step 4: Simplify right side
    124,051.80x = 6,568,471,577.10
  5. Step 5: Solve for x
    x = 6,568,471,577.10/124,051.80
  6. Step 6: Final answer
    x = 52,949.42

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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.