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Finding the Fourth Proportional to 74,952, 103,434.03 and 41,418

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Solution

The fourth proportional to 74,952, 103,434.03 and 41,418 is: 57,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,952 : 103,434.03 = 41,418 : x
  2. Step 2: Convert to fraction form
    74,952/103,434.03 = 41,418/x
  3. Step 3: Cross multiply
    74,952x = 103,434.03 × 41,418
  4. Step 4: Simplify right side
    74,952x = 4,284,030,654.54
  5. Step 5: Solve for x
    x = 4,284,030,654.54/74,952
  6. Step 6: Final answer
    x = 57,156.99

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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.