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Finding the Fourth Proportional to 102,393.68, 153,585.76 and 35,848.74

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Solution

The fourth proportional to 102,393.68, 153,585.76 and 35,848.74 is: 53,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.68 : 153,585.76 = 35,848.74 : x
  2. Step 2: Convert to fraction form
    102,393.68/153,585.76 = 35,848.74/x
  3. Step 3: Cross multiply
    102,393.68x = 153,585.76 × 35,848.74
  4. Step 4: Simplify right side
    102,393.68x = 5,505,855,977.94
  5. Step 5: Solve for x
    x = 5,505,855,977.94/102,393.68
  6. Step 6: Final answer
    x = 53,771.44

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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.