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Finding the Fourth Proportional to 102,395.60, 153,662.60 and 35,836.32

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Solution

The fourth proportional to 102,395.60, 153,662.60 and 35,836.32 is: 53,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.60 : 153,662.60 = 35,836.32 : x
  2. Step 2: Convert to fraction form
    102,395.60/153,662.60 = 35,836.32/x
  3. Step 3: Cross multiply
    102,395.60x = 153,662.60 × 35,836.32
  4. Step 4: Simplify right side
    102,395.60x = 5,506,702,105.63
  5. Step 5: Solve for x
    x = 5,506,702,105.63/102,395.60
  6. Step 6: Final answer
    x = 53,778.70

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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.