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Finding the Fourth Proportional to 102,473.83, 153,732.62 and 35,918.02

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Solution

The fourth proportional to 102,473.83, 153,732.62 and 35,918.02 is: 53,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,473.83 : 153,732.62 = 35,918.02 : x
  2. Step 2: Convert to fraction form
    102,473.83/153,732.62 = 35,918.02/x
  3. Step 3: Cross multiply
    102,473.83x = 153,732.62 × 35,918.02
  4. Step 4: Simplify right side
    102,473.83x = 5,521,771,140.22
  5. Step 5: Solve for x
    x = 5,521,771,140.22/102,473.83
  6. Step 6: Final answer
    x = 53,884.70

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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.