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Finding the Fourth Proportional to 119,047.68, 178,580.16 and 35,948.16

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Solution

The fourth proportional to 119,047.68, 178,580.16 and 35,948.16 is: 53,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.68 : 178,580.16 = 35,948.16 : x
  2. Step 2: Convert to fraction form
    119,047.68/178,580.16 = 35,948.16/x
  3. Step 3: Cross multiply
    119,047.68x = 178,580.16 × 35,948.16
  4. Step 4: Simplify right side
    119,047.68x = 6,419,628,164.51
  5. Step 5: Solve for x
    x = 6,419,628,164.51/119,047.68
  6. Step 6: Final answer
    x = 53,924.85

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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.