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Finding the Fourth Proportional to 54,842.37, 75,684.02 and 30,972.63

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Solution

The fourth proportional to 54,842.37, 75,684.02 and 30,972.63 is: 42,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.37 : 75,684.02 = 30,972.63 : x
  2. Step 2: Convert to fraction form
    54,842.37/75,684.02 = 30,972.63/x
  3. Step 3: Cross multiply
    54,842.37x = 75,684.02 × 30,972.63
  4. Step 4: Simplify right side
    54,842.37x = 2,344,132,993.51
  5. Step 5: Solve for x
    x = 2,344,132,993.51/54,842.37
  6. Step 6: Final answer
    x = 42,743.10

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Double scale
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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.