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Finding the Fourth Proportional to 39,548, 54,574.64 and 23,641.24

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Solution

The fourth proportional to 39,548, 54,574.64 and 23,641.24 is: 32,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548 : 54,574.64 = 23,641.24 : x
  2. Step 2: Convert to fraction form
    39,548/54,574.64 = 23,641.24/x
  3. Step 3: Cross multiply
    39,548x = 54,574.64 × 23,641.24
  4. Step 4: Simplify right side
    39,548x = 1,290,212,162.15
  5. Step 5: Solve for x
    x = 1,290,212,162.15/39,548
  6. Step 6: Final answer
    x = 32,623.95

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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.