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Finding the Fourth Proportional to 42,458, 58,594.47 and 23,601.20

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Solution

The fourth proportional to 42,458, 58,594.47 and 23,601.20 is: 32,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,458 : 58,594.47 = 23,601.20 : x
  2. Step 2: Convert to fraction form
    42,458/58,594.47 = 23,601.20/x
  3. Step 3: Cross multiply
    42,458x = 58,594.47 × 23,601.20
  4. Step 4: Simplify right side
    42,458x = 1,382,899,805.36
  5. Step 5: Solve for x
    x = 1,382,899,805.36/42,458
  6. Step 6: Final answer
    x = 32,571.01

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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.