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Finding the Fourth Proportional to 53,829, 74,284.02 and 30,277

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Solution

The fourth proportional to 53,829, 74,284.02 and 30,277 is: 41,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829 : 74,284.02 = 30,277 : x
  2. Step 2: Convert to fraction form
    53,829/74,284.02 = 30,277/x
  3. Step 3: Cross multiply
    53,829x = 74,284.02 × 30,277
  4. Step 4: Simplify right side
    53,829x = 2,249,097,273.54
  5. Step 5: Solve for x
    x = 2,249,097,273.54/53,829
  6. Step 6: Final answer
    x = 41,782.26

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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.