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Finding the Fourth Proportional to 49,952.97, 74,565.06 and 43,647.24

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Solution

The fourth proportional to 49,952.97, 74,565.06 and 43,647.24 is: 65,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.97 : 74,565.06 = 43,647.24 : x
  2. Step 2: Convert to fraction form
    49,952.97/74,565.06 = 43,647.24/x
  3. Step 3: Cross multiply
    49,952.97x = 74,565.06 × 43,647.24
  4. Step 4: Simplify right side
    49,952.97x = 3,254,559,069.43
  5. Step 5: Solve for x
    x = 3,254,559,069.43/49,952.97
  6. Step 6: Final answer
    x = 65,152.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.