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Finding the Fourth Proportional to 42,720, 58,952.97 and 24,825.08

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Solution

The fourth proportional to 42,720, 58,952.97 and 24,825.08 is: 34,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 58,952.97 = 24,825.08 : x
  2. Step 2: Convert to fraction form
    42,720/58,952.97 = 24,825.08/x
  3. Step 3: Cross multiply
    42,720x = 58,952.97 × 24,825.08
  4. Step 4: Simplify right side
    42,720x = 1,463,511,901.72
  5. Step 5: Solve for x
    x = 1,463,511,901.72/42,720
  6. Step 6: Final answer
    x = 34,258.24

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1.5x scale

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.