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Finding the Fourth Proportional to 102,433, 141,357.54 and 55,329

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Solution

The fourth proportional to 102,433, 141,357.54 and 55,329 is: 76,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,433 : 141,357.54 = 55,329 : x
  2. Step 2: Convert to fraction form
    102,433/141,357.54 = 55,329/x
  3. Step 3: Cross multiply
    102,433x = 141,357.54 × 55,329
  4. Step 4: Simplify right side
    102,433x = 7,821,171,330.66
  5. Step 5: Solve for x
    x = 7,821,171,330.66/102,433
  6. Step 6: Final answer
    x = 76,354.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.